What values of b satisfy 3(2b + 3)^2 = 36?

ANSWER



EXPLANATION

The given equation is


We can quickly solve this using the square root method.

We first of all divide both sides of the equation by 3 to obtain,



This implies that,



We now take the square root of both sides to obtain,



This simplifies to,



We add the additive inverse of 3, which is -3 to both sides of the equation to obtain,



We now divide through by 2 to obtain,



We split the plus or minus sign to obtain,



or