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Solving Quadratic Equations

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1. Solve. x2 = 21

2. Solve. x2 - 24 = 0

3. Solve by using the quadratic formula. x2 + 9x + 18 = 0

4. Graph the quadratic equation after completing the given table of values. y = x2 + 2

x y
-2
-1
0
1
2

5. Solve. -9(x - 3)2 = -7

6. Solve by completing the square.
2x2 + 4x + 1 = 0

7. Solve by completing the square.
4x2 + 2x - 3 = 0

8. Solve by using the quadratic formula. 4x2 - 3x + 11 = 0

9. Solve. (x - 4)2 = 64

10. Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 - 8x

11. Graph the quadratic equation after completing the given table of values. y = x2 + 3x

x y
-3
-2
-1
0
1

12. Graph the quadratic equation after completing the given table of values. y = x2 - 2x

x y
-1
0
1
2
3

13. Graph the quadratic equation after completing the given table of values. y = x2 + 2x - 3

x y
-3
-2
-1
0
1

14. Graph the quadratic equation after completing the given table of values. y = x2 - 5x + 4

x y
0
1
2
3
4

15. Graph the quadratic equation after completing the given table of values. y = -x2 + 1

x y
-2
-1
0
1
2

16. Graph the quadratic equation after completing the given table of values. y = -x2 - 2x

x y
-3
-2
-1
0
1

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Solution Summary

Quadratic equations are solved by various methods.

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