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Name ________________________________________________ Date ___________________ Block ________ Solving Quadratics by Square Roots Homework Simplify. 1. √49 2. ±√196 3. −√324 Solve the Equation. Leave all answers in simplest radical form if needed. 4. x² = 36 5. 4x² - 12 = 0 6. 10x² - 40 = 0 7. 9x² - 18 = 0 8. x² - 9 = 0 9. 5x² = 20 10. 7x² - 84 = 3x² + 16 11. 3(x – 4)² = 18 12. f(x) = 6x² - 24 13. 6x² - 27 = 9 14. f(x) = 8x² - 128 15. (x + 2)² = 25 Solve the Equation. Leave all answers in simplest radical form if needed. 16. (x + 6)² = 64 17. x² + 9 = 9 18. x² + 3 = -6 19. James is fixing a leak in his roof. He accidentally drops his hammer off of the roof. The height h (in feet) of the hammer can be modeled by the function h = -16t2 + 15 where t is the time (in seconds) since the hammer was dropped. Find the time it takes for the hammer to reach the ground. Round your answer to the nearest hundredth of a second. HINT: When the hammer lands on the ground the height (h) is 0. 20. Identify all o the following equations have a root of 6. y = x2 – 6 f(x) = x + 6 y = 4x2 – 144 f(x) = 9x - 54 y = x2 – 36 y = 3x2 +16