**Solve each equation by finding square roots.**
**1. **3

*x*^{2} = 75

**2. **5

*x*^{2} 45 = 0

**3. **4

*x*^{2} 49 = 0

**4. **6

*x*^{2} = 216

**5. **2

*x*^{2} = 14

**6. **3

*x*^{2} 96 = 0

**7.** A box is 4 in. high. Its length is 1.5 times its width. The volume of the box is 1350 in.

^{2}. What are the width and length of the box?

**Solve each equation.**
**8.** *x*^{2} + 12

*x** + *36 = 25

**9. ***x*^{2} 10

*x** + *25 = 144

**10. ** **11. ***x*^{2}* *22

*x** + *121 = 225

**12. **16

*x*^{2} + 8

*x** + *1 = 16

**13. **25

*x*^{2} 30

*x** + *9 = 81

**Complete the square.**
**14. ***x*^{2} + 22

*x** *+

**15. ***x*^{2} 30

*x** *+

**16. ***x*^{2} + 5

*x** *+

**17. ** **18. **25

*x*^{2}*+ *10

*x** *+

**19. **4

*x*^{2}* *12

*x** *+

**Solve each quadratic equation by completing the square.**
**20. ***x*^{2} + 10

*x** *1 = 0

**21. ***x*^{2} + 2

*x** *7 = 0

**22. ***x*^{2} + 6

*x** + *10 = 0

**23. ***x*^{2} + 5

*x** = *3

*x** + *11

**24. **3

*x*^{2 }*+ *4

*x *= 2

*x*^{2 }+ 3

**25. **
**26. **0.2

*x*^{2} + 0.4

*x** + *0.8 = 0

**27. **4

*x*^{2} + 20

*x** + *1 = 0

**Prentice Hall Gold Algebra 2• **Teaching

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