Solve the equations.

a. (x - 2) ^2 = 9

b. 3 (x - 2) ^2 = 9

c. 6 = 24 (x + 1) ^2

Answer: a) x = 5 or - 1 b) x = √3+2

c) x = - 1/2 or - 3/2

Step-by-step explanation:

a) (x - 2) ² = 9

First step is to take the square root of both sides to eliminate the square

√ (x - 2) ² = √9

x-2 = + -3

x = + 3+2

x = 5 and;

x = - 3+2

x = - 1

x = 5 or - 1

b) 3 (x-2) ² = 9

First we divide both sides by 3 to get;

(x-2) ² = 9/3

(x-2) ² = 3

Second step is to take the square root of both sides to eliminate the square

√ (x-2) ² = √3

x-2 = √3

x = √3+2

c) 6 = 24 (x+1) ²

Dividing both sides by 24, we have

6/24 = (x+1) ²

1/4 = (x+1) ²

Taking the square root of both sides we have

√1/4 = √ (x+1) ²

= + -1/2 = x+1

x = + 1/2-1 = - 1/2 and;

x = - 1/2-1 = - 3/2

x = - 1/2 or - 3/2