# solving quadratic equations

1. Solve the equation. x^2 + 8 x + 15 = 0

2. Write the equation x(x - 7) + 10 = 0 in quadratic form and then solve it by factoring.

3. Solve the equation by using factoring. 3 x^3 - 192 x = 0

4. Use factoring to solve the equation. 8 x^ 2 + 16 x = 0

5. Use factoring to solve the equation. 4 y^2 - 4 = 0

6. Use factoring to solve the equation. x^2 - 10 x + 21 = 0

7. Use factoring to solve the equation. 3 z^2 = 36 z - 96

8. Use the square root property to solve the equation. x^2 = 9

9. Use the square root property to solve the equation. (x - 7)^2 = 4

10. Use completing the square to solve the equation x^2 + 10 x + 16 = 0.

11. A rectangle is 2 feet longer than it is wide, and its area is 8 square feet. Find its dimensions.

12. Use the quadratic formula to solve the following equation. x^2 - 17 x + 72 = 0

13. Solve the equation. y^2 - 8y + 12 = 0

14. Write the equation in quadratic form and solve by factoring. x (x - 13) + 40 = 0

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#### Solution Summary

The solution demonstrates how to solve quadratic equation using various methods, such as factoring, completing squares, quadratic formula, etc.