IMC Practice Worksheet Name: ____________________________ Date: _____________
Solving Quadratic Equations by Square Roots
Solve the equation by square roots. Remember
1. x
2
= 324 2. x
2
– 81 = 0 3. 5x
2
180 = 0
4. 3x
2
– 100 = 332 5. ⅔ x
2
– 8 = 16 6. ½ x
2
– 5 = 5
7. x
2
+ 1 = 3x
2
– 13 8. 2(x
2
+ 4) = -10 9. 3(x
2
– 1) = 9
10. 2(x + 3)
2
= 8 11. 3(x – 2)
2
+ 4 = 52 12. (3x + 1)
2
– 36 = 0
13. (2x – 3)
2
= 25 14. ½ (x – 4)
2
= 8 15. ¼ (x + 1)
2
– 16 = 0
16.
97
4
x
2
17.
3
8
3x
4
x
22
18. (x + 5)
2
+ 127 = 6
19. (3x – 6)
2
= -48