SlideShare una empresa de Scribd logo
1 de 20
Completing the Square
Completing the Square
Completing the Square move the constant
Completing the Square move the constant add half the coefficient of ‘ x ’ squared
Completing the Square move the constant add half the coefficient of ‘ x ’ squared factorise to a perfect square
Completing the Square move the constant add half the coefficient of ‘ x ’ squared factorise to a perfect square
Completing the Square move the constant add half the coefficient of ‘ x ’ squared factorise to a perfect square
 
 
 
 
 
 
 
 
 
 
 
 
Exercise 1I; 1adh, 2ch, 3adg, 4bdfh, 5bdf, 6adg, 7bc, 8*

Más contenido relacionado

La actualidad más candente

Objects in motion - 02 Speed and velocity
Objects in motion - 02 Speed and velocityObjects in motion - 02 Speed and velocity
Objects in motion - 02 Speed and velocity
Ian Anderson
 
Ap Calc Oct22
Ap Calc Oct22Ap Calc Oct22
Ap Calc Oct22
heviatar
 
Grade 12 U1-L2-Linear motion graphs
Grade 12 U1-L2-Linear motion graphsGrade 12 U1-L2-Linear motion graphs
Grade 12 U1-L2-Linear motion graphs
gruszecki1
 
8 3 modeling periodic behavior
8 3 modeling periodic behavior8 3 modeling periodic behavior
8 3 modeling periodic behavior
hisema01
 
The gravitational N -body pro
The gravitational N -body proThe gravitational N -body pro
The gravitational N -body pro
suitzero
 
Projectile motionchemistory (4)
Projectile motionchemistory (4)Projectile motionchemistory (4)
Projectile motionchemistory (4)
Sahil Raturi
 

La actualidad más candente (17)

Objects in motion - 02 Speed and velocity
Objects in motion - 02 Speed and velocityObjects in motion - 02 Speed and velocity
Objects in motion - 02 Speed and velocity
 
Kinemetics
KinemeticsKinemetics
Kinemetics
 
Ap Calc Oct22
Ap Calc Oct22Ap Calc Oct22
Ap Calc Oct22
 
Grade 12 U1-L2-Linear motion graphs
Grade 12 U1-L2-Linear motion graphsGrade 12 U1-L2-Linear motion graphs
Grade 12 U1-L2-Linear motion graphs
 
8 3 modeling periodic behavior
8 3 modeling periodic behavior8 3 modeling periodic behavior
8 3 modeling periodic behavior
 
Play Group English (Picture Matching -2)
Play Group English (Picture Matching -2)Play Group English (Picture Matching -2)
Play Group English (Picture Matching -2)
 
The Distribution of Shagai /Presentation/ - Шагайны тархалт
The Distribution of Shagai /Presentation/ - Шагайны тархалтThe Distribution of Shagai /Presentation/ - Шагайны тархалт
The Distribution of Shagai /Presentation/ - Шагайны тархалт
 
The gravitational N -body pro
The gravitational N -body proThe gravitational N -body pro
The gravitational N -body pro
 
Ap physics 12_-_graphical_analysis_of_motion
Ap physics 12_-_graphical_analysis_of_motionAp physics 12_-_graphical_analysis_of_motion
Ap physics 12_-_graphical_analysis_of_motion
 
Les 2 motion_11
Les 2 motion_11Les 2 motion_11
Les 2 motion_11
 
Projectile motion graphs
Projectile motion graphsProjectile motion graphs
Projectile motion graphs
 
Droid Geometry
Droid GeometryDroid Geometry
Droid Geometry
 
Applied Math 40S May 27, 2008
Applied Math 40S May 27, 2008Applied Math 40S May 27, 2008
Applied Math 40S May 27, 2008
 
Projectile motionchemistory (4)
Projectile motionchemistory (4)Projectile motionchemistory (4)
Projectile motionchemistory (4)
 
Ap physics 1 & 2_-_vectors
Ap physics 1 & 2_-_vectorsAp physics 1 & 2_-_vectors
Ap physics 1 & 2_-_vectors
 
Impulse and motion graphs
Impulse and motion graphsImpulse and motion graphs
Impulse and motion graphs
 
Grade 12, U3-L2B, Vert PM
Grade 12, U3-L2B, Vert PMGrade 12, U3-L2B, Vert PM
Grade 12, U3-L2B, Vert PM
 

Destacado

11X1 T13 07 products of intercepts (2011)
11X1 T13 07 products of intercepts (2011)11X1 T13 07 products of intercepts (2011)
11X1 T13 07 products of intercepts (2011)
Nigel Simmons
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formula
Northside ISD
 
11 X1 T01 07 quadratic equations (2010)
11 X1 T01 07 quadratic equations (2010)11 X1 T01 07 quadratic equations (2010)
11 X1 T01 07 quadratic equations (2010)
Nigel Simmons
 
X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)
Nigel Simmons
 
X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)
Nigel Simmons
 
11 x1 t01 06 equations & inequations (2013)
11 x1 t01 06 equations & inequations (2013)11 x1 t01 06 equations & inequations (2013)
11 x1 t01 06 equations & inequations (2013)
Nigel Simmons
 
11 x1 t05 02 gradient (2013)
11 x1 t05 02 gradient (2013)11 x1 t05 02 gradient (2013)
11 x1 t05 02 gradient (2013)
Nigel Simmons
 
X2 t02 01 multiple roots (2102)
X2 t02 01 multiple roots (2102)X2 t02 01 multiple roots (2102)
X2 t02 01 multiple roots (2102)
Nigel Simmons
 
11 x1 t01 05 cubics (2012)
11 x1 t01 05 cubics (2012)11 x1 t01 05 cubics (2012)
11 x1 t01 05 cubics (2012)
Nigel Simmons
 
X2 t01 02 solving quadratics (2013)
X2 t01 02 solving quadratics (2013)X2 t01 02 solving quadratics (2013)
X2 t01 02 solving quadratics (2013)
Nigel Simmons
 
11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)
Nigel Simmons
 
11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)
Nigel Simmons
 

Destacado (16)

11X1 T13 07 products of intercepts (2011)
11X1 T13 07 products of intercepts (2011)11X1 T13 07 products of intercepts (2011)
11X1 T13 07 products of intercepts (2011)
 
4.8.2 quadratic formula
4.8.2 quadratic formula4.8.2 quadratic formula
4.8.2 quadratic formula
 
Y9 algebra 1 Change of Subject
Y9 algebra 1 Change of SubjectY9 algebra 1 Change of Subject
Y9 algebra 1 Change of Subject
 
11 X1 T01 07 quadratic equations (2010)
11 X1 T01 07 quadratic equations (2010)11 X1 T01 07 quadratic equations (2010)
11 X1 T01 07 quadratic equations (2010)
 
X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)
 
X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)
 
11 x1 t01 06 equations & inequations (2013)
11 x1 t01 06 equations & inequations (2013)11 x1 t01 06 equations & inequations (2013)
11 x1 t01 06 equations & inequations (2013)
 
11 x1 t05 02 gradient (2013)
11 x1 t05 02 gradient (2013)11 x1 t05 02 gradient (2013)
11 x1 t05 02 gradient (2013)
 
X2 t02 01 multiple roots (2102)
X2 t02 01 multiple roots (2102)X2 t02 01 multiple roots (2102)
X2 t02 01 multiple roots (2102)
 
Math 10.6
Math 10.6Math 10.6
Math 10.6
 
11 x1 t01 05 cubics (2012)
11 x1 t01 05 cubics (2012)11 x1 t01 05 cubics (2012)
11 x1 t01 05 cubics (2012)
 
X2 t01 02 solving quadratics (2013)
X2 t01 02 solving quadratics (2013)X2 t01 02 solving quadratics (2013)
X2 t01 02 solving quadratics (2013)
 
Ses 3 quadratic equations
Ses 3 quadratic equationsSes 3 quadratic equations
Ses 3 quadratic equations
 
11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)
 
11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)
 
Quadratic equations
Quadratic equationsQuadratic equations
Quadratic equations
 

Más de Nigel Simmons

12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)
Nigel Simmons
 
11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)
Nigel Simmons
 
12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)
Nigel Simmons
 
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)
Nigel Simmons
 
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)
Nigel Simmons
 
12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)
Nigel Simmons
 
X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)
Nigel Simmons
 
X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)
Nigel Simmons
 
11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)
Nigel Simmons
 
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
Nigel Simmons
 
11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)
Nigel Simmons
 
11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)
Nigel Simmons
 
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)
Nigel Simmons
 
11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)
Nigel Simmons
 
11 x1 t16 01 area under curve (2013)
11 x1 t16 01 area under curve (2013)11 x1 t16 01 area under curve (2013)
11 x1 t16 01 area under curve (2013)
Nigel Simmons
 
X2 t01 11 nth roots of unity (2012)
X2 t01 11 nth roots of unity (2012)X2 t01 11 nth roots of unity (2012)
X2 t01 11 nth roots of unity (2012)
Nigel Simmons
 
X2 t01 10 complex & trig (2013)
X2 t01 10 complex & trig (2013)X2 t01 10 complex & trig (2013)
X2 t01 10 complex & trig (2013)
Nigel Simmons
 
X2 t01 09 de moivres theorem
X2 t01 09 de moivres theoremX2 t01 09 de moivres theorem
X2 t01 09 de moivres theorem
Nigel Simmons
 

Más de Nigel Simmons (20)

Goodbye slideshare UPDATE
Goodbye slideshare UPDATEGoodbye slideshare UPDATE
Goodbye slideshare UPDATE
 
Goodbye slideshare
Goodbye slideshareGoodbye slideshare
Goodbye slideshare
 
12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)
 
11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)
 
12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)
 
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)
 
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)
 
12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)
 
X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)
 
X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)
 
11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)
 
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
 
11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)
 
11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)
 
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)
 
11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)
 
11 x1 t16 01 area under curve (2013)
11 x1 t16 01 area under curve (2013)11 x1 t16 01 area under curve (2013)
11 x1 t16 01 area under curve (2013)
 
X2 t01 11 nth roots of unity (2012)
X2 t01 11 nth roots of unity (2012)X2 t01 11 nth roots of unity (2012)
X2 t01 11 nth roots of unity (2012)
 
X2 t01 10 complex & trig (2013)
X2 t01 10 complex & trig (2013)X2 t01 10 complex & trig (2013)
X2 t01 10 complex & trig (2013)
 
X2 t01 09 de moivres theorem
X2 t01 09 de moivres theoremX2 t01 09 de moivres theorem
X2 t01 09 de moivres theorem
 

Último

1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
QucHHunhnh
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
negromaestrong
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 

Último (20)

Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docx
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 

11 X1 T01 09 Completing The Square (2010)