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