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})

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