# Solving Quadratics by Square Roots Homework

```Name ________________________________________________ Date ___________________ Block ________
Solving Quadratics by Square Roots Homework
Simplify.
1. √49
2. &plusmn;√196
3. −√324
Solve the Equation. Leave all answers in simplest radical form if needed.
4. x&sup2; = 36
5. 4x&sup2; - 12 = 0
6. 10x&sup2; - 40 = 0
7. 9x&sup2; - 18 = 0
8. x&sup2; - 9 = 0
9. 5x&sup2; = 20
10. 7x&sup2; - 84 = 3x&sup2; + 16
11. 3(x – 4)&sup2; = 18
12. f(x) = 6x&sup2; - 24
13. 6x&sup2; - 27 = 9
14. f(x) = 8x&sup2; - 128
15. (x + 2)&sup2; = 25
Solve the Equation. Leave all answers in simplest radical form if needed.
16. (x + 6)&sup2; = 64
17. x&sup2; + 9 = 9
18. x&sup2; + 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
```