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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