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. x^{2} – 7x = 60

2. x^{2} – 8x = 33

Write a quadratic equation with the given roots. Use sum and product of the roots. Write the equation in the form a^{2} +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. x^{2} + 8x – 48 = 0

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

(source)