Sum and Product of Roots

Find the exact solution of the following quadratic equation by using the Quadratic Formula.  Use sum and product of the roots to check your answer.

1. x2 – 7x = 60

2. x2 – 8x  = 33

Write a quadratic equation with the given roots. Use sum and product of the roots.  Write the equation in the form a2 +bx + c = 0, where a, b, and c are integers.

3. -(1/4) and 8

4. -(5/2) and 9

5. (1/4) and 4

Find the exact solution of the following quadratic equation by using the Quadratic Formula. Use sum and product of the roots to check your answer.

6. x2 + 8x – 48 = 0

Answers (1. {-5, 12}  2. {-3, 11}  3. 4x2 – 31x – 8 = 0 4. 2x2 – 13x – 45 = 0 5. 4x2 – 17x + 4 = 0 6. {-12, 4})

(source)