(3x+2)^2=9

Question

solve for x

Answer 1

(3x + 2)² = 9

Root:

3x + 2 = ±√9

which splits into the following:

3x + 2 = 3

3x + 2 = -3

 

Subtract 2:

3x = 1

3x = -5

 

divide by 3:

x = 1/3

x = -5/3

 

check:

(3 * 1/3 + 2)² = 9

(1 + 2)² = 9

3² = 9

9 = 9

 

(3 * -5/3 + 2)² = 9

(-5 + 2)² = 9

(-3)² = 9

9 = 9

 

Answer 2

Two ways to work this: 1. Square the left-hand side as indicated, then solve for x with quadratic solution. 2. Easier way is to initially take square root of both sides, yielding: 3X + 2 = +/- 3. Then solve the two possibilities:

a. 3X + 2 = 3   b. 3X + 2 = -3

   3X = 1              3X = -5      So, X = 1/3 or X = -5/3

Answer 3

(3x + 2)^2 = 9

 

Take square root of both sides.

 

So, 3x + 2 = 3, solve for x = 1/3.