Solving Quadratic Equations Worksheet
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1Name: _________________________
Solving Quadratic Equations Worksheet
Solve each equation by finding square roots in simplest radical form. If the equation has no realnumber
solution, write n o solution .
2
2
2
1.
x
= 2
5
2.
x
= 4
84
3.
x
− 2
56
= 0
2
2
2
4.
x
− 1 = 5
4 − 0
5. x
9
− 1 = 0
6
6.
x
− 3 = 3
2 − 2
7. x
4
2
= 3
6
8. x
2
2
= 1
00
9. x
6
2
+ 5 = 0
4
2
2
2
10. 1 8 − x
= 0
12.
16x
= 4
9
12.
3x
= 6
0
Model each problem with a quadratic equation, then solve. Round to the nearest tenth.
13.
Find the side length of a square with an area of 196 ft
2
.
2
14.
Find the radius of a circle with an area of 100 in
.
15.
Find the side length of a square with an area of 50 cm
2
.
Solve each equation by factoring.
2
2
2
16.
x
− 1
0x
+ 2 = 0
4
17. x
3
+ 7 − 6 = 0
x
18. x
5
− 9 − 2 = 0
x
2
2
2
19.
x
+ x = 1
2
20.
x
+ 1
2x − 2
= 3
21.
x
= 5
x
2
2
2
22. 2x
1
+ 4
0x
− 7 = 0
23. x
3
− 2
0x − 2
= 1
24. 7x
2
− 8 = 6
− 9x
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