UNIT 2 WORKSHEET 13 SOLVING QUADRATIC EQUATIONS ..., Summaries of Pre-Calculus

Solve each of the following quadratic equations by completing the square. 1. 2. 4. 6 0 x x. +. − =.

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UNIT 2 WORKSHEET 13
SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE
Solve each of the following quadratic equations by completing the square.
1.
2
4 6 0
x x
+ =
2.
2
8 5 0
x x
=
3.
2
12 15 0
x x
+ =
4.
2
5 3 0
x x
+ =
5.
2
3 5 0
x x
6.
2
5 3 0
x x
+ =
7.
2
2 8 18 0
x x
+ =
8.
2
4 16 12 0
x x
+ =
9.
2
3 18 12 0
x x
=
10.
2
5 3 2 0
x x
+ =
11.
3
3 2 4 0
x x
=
12.
2
2 3 7 0
x x
+ + =

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UNIT 2 WORKSHEET 13

SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE

Solve each of the following quadratic equations by completing the square.

  1. x^2^ + 4 x − 6 = 0 2. x^2^ − 8 x − 5 = 0 3. x^2^ − 12 x + 15 = 0
  2. x^2^ − 5 x + 3 = 0 5. − x^2^ + 3 x − 5 = 0 6. x^2^ + 5 x − 3 = 0
  3. − 2 x^2 + 8 x − 18 = 0 8. 4 x^2 − 16 x + 12 = 0 9. 3 x^2 − 18 x − 12 = 0
  4. 5 x^2 − 3 x + 2 = 0 11. 3 x^3 − 2 x − 4 = 0 12. − 2 x^2 + 3 x + 7 = 0