Download Algebra 2 Review Name Solving Equations by Finding Square

Algebra 2 Review
Solving Equations by Finding Square Roots
Name
Solving Quadratic Equations by finding square roots:
1. Isolate x2 on one side of the equation.
2. Find the square root of each side.
Ex: Solve the equation.
x2  4
x 2  8
2 x 2  18
x2   4
x2    8
x  i 8
x2  9
x 9
x  2i 2
x  3
x  2
1. x 2  1
2. x 2  16
3. x 2  7
4. x 2  12
5. x 2  81
6. 5x 2  500
7. 3x 2  6
8. 4 x 2  32
9. 3x 2  20  2
10. 2 x 2  5  27
11. 7 x 2  30  9
12. 2 x 2  13  41
Ex: Solve 6x  1  36 .
2
x  12  6
x  12  
1. Isolate the squared binomial
2. Take the square root of both sides.
6
x 1   6
3. Add/Subtract value to both sides.
x  1 6
4. Separate into two solutions, one + and one – .
13. x  2  25
2
14. 5x  1  50
2
15. 2x  3  8
2
x  1  6 or x  1  6
16. 4x  2  28
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Use a calculator to solve the equation. (Round to the nearest hundredth)
17. 4 x 2  3  57
18. 6 x 2  22  34
19. 2 x 2  14  10
20. 3x  4  12  6
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