SOLVING QUADRATIC EQUATIONS NOT WRITTEN 

Use the quadratic formula to solve exactly for x :

Problem 1 :

(x + 2) (x - 1) = 2 - 3x

Solution

Problem 2 :

(2x + 1)2 = 3 - x

Solution

Problem 3 :

(x - 2)2 = 1 + x

Solution

Problem 4 :

x-12-x= 2x+1

Solution

Problem 5 :

x-1x = 1

Solution

Problem 6 :

x-1x =

Solution

Answer Key

solvingquadequationnotinstadardform

Solve the quadratic equation by taking square roots :

Problem 1 :

x² + 8x + 16 = 9

Solution

Problem 2 :

x² - 6x + 9 = 25

Solution

Problem 3 :

x² - 12x + 36 = 49

Solution

Problem 4 :

2x² - 12x + 18 = 32

Solution

Problem 5 :

4x² - 4x + 1 = 36

Solution

Answer Key

1)  x = -1, x = -7

2)  x = 8, x = -2

3)  x = 13, x = -1

4)  x = 7, x = -1

5)  x = 7/2 and x = -5/2

Solve the quadratic equation by taking square roots :

Problem 1 :

5x² - 20x + 20 = 35

Solution

Problem 2 :

x² - 2/3x + 1/9 = 1

Solution

Problem 3 :

x² + 3/2x + 9/16 = 3

Solution

Problem 4 :

9x² + 12x + 4 = 5

Solution

Answer Key

1)  x = 2 + √7 and x = 2 - √7

2) x = 4/3          x = -2/3

3)  x = ± √3 - 3/4

4)  x = √5/3 - 2/3 or x = -√5/3 - 2/3

Solve the equation.

Problem 1 :

x² = 289

Solution

Problem 2 :

x² - 169 = 0

Solution

Problem 3 :

2x² - 512 = 0

Solution

Problem 4 :

3x² - 150 = 282

Solution

Problem 5 :

1/2x² - 8 = 16

Solution

Problem 6 :

(2/3)x² - 4 = 12

Solution

Problem 7 :

2x² + 5 = 5x² - 37

Solution

Problem 8 :

4(x² - 8) = 84

Solution

Problem 9 :

3(x² + 2) = 18

Solution

Problem 10 :

2(x + 2)² = 72

Solution

Problem 11 :

3(x - 3)² + 2 = 26

Solution

Problem 12 :

(3x + 2)² - 49 = 0

Solution

Answer Key

1)  x = ±17

2)  x = ±13

3)  x = ±16

4)  x = ±12

5)  x = ±4√3

6)  x = ±2√6

7)  x = ±√14

8)  x = ±√29

9)  x = ±2√2

10)  x = 4 and x = -8

11)  x = 3+2√2 and x = 3-2√2

12)  x = 10 and x = -4

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