(x+7)^2=16

2 min read Jun 17, 2024
(x+7)^2=16

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:

1. Isolate the Squared Term

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!

2. Take the Square Root of Both Sides

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.

3. Simplify

Simplifying the equation gives us:

x + 7 = ±4

4. Solve for x

Now we have two separate equations to solve:

  • x + 7 = 4
    • Subtracting 7 from both sides: x = -3
  • x + 7 = -4
    • Subtracting 7 from both sides: x = -11

Solutions

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

Related Post


Featured Posts