Solve the equation 9 = square root of 27(4x + 6). Using complete sentences, explain the strategy used in solving this equation.

Question

Solve the equation 9 = square root of 27(4x + 6). Using complete sentences, explain the strategy used in solving this equation.

Answer 1

I assume you mean

 

9 = √[27 (4x + 6)]

 

Square both sides:

 

81 = 27 (4x + 6)

 

Now solve for x:

 

x = (81/27 - 6) / 4 = -3/4