(x+3)^2=5

2 min read Jun 16, 2024
(x+3)^2=5

Solving the Equation (x+3)² = 5

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

1. Isolate the Squared Term

  • Take the square root of both sides: This will remove the square from the left side of the equation.

    √((x+3)²) = ±√5

  • Simplify: Remember that taking the square root of a squared term results in the absolute value.

    |x+3| = ±√5

2. Solve for x

  • Consider both positive and negative roots: Because we took the square root, we need to account for both the positive and negative values of √5.

    • Case 1: x + 3 = √5
    • Case 2: x + 3 = -√5
  • Solve for x in each case:

    • Case 1: x = √5 - 3
    • Case 2: x = -√5 - 3

3. Solutions

Therefore, the solutions to the equation (x+3)² = 5 are:

  • x = √5 - 3
  • x = -√5 - 3

These are the exact solutions. If you need an approximate decimal representation, you can use a calculator to evaluate these expressions.

Related Post


Featured Posts