(x+7)^2=16

2 min read Jun 17, 2024

Solving the Equation (x+7)² = 16

This equation involves a squared term, which means we'll need to use the square root property to solve for x. Let's break down the steps:

First, we need to isolate the term (x+7)². Since the right side of the equation is already a constant, we're good to go!

To get rid of the square, we take the square root of both sides of the equation:

√[(x+7)²] = ±√16

Remember that taking the square root of a number can result in both a positive and negative solution. This is why we include the "±" sign.

Simplifying the equation gives us:

x + 7 = ±4

Now we have two separate equations to solve:

Therefore, the solutions to the equation (x+7)² = 16 are x = -3 and x = -11.