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Nature of
Roots
Find the roots for each of the following equations in 
whatever manner you would like: 
We can use the discriminant  to determine the type of roots

                               2
         Discriminant =      b  ­ 4ac
Properties of the roots of a Quadratic Equation

Using the quadratic formula
the roots are at: 
We can use the roots to write the quadratic equation

  x2 ­ (sum of roots)x + (product of roots) = 0



  sum =
product =
Find a quadratic equation whose roots are   and
Write a quadratic equation with integer coefficients 
given the roots
                              and
And Now It's time


  Exercise 16

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