(x+7)^2=49/16

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x + 7)^2 = 49/16

This equation involves a squared term, so we'll use the square root property to solve for x.

1. Isolate the squared term:

The squared term is already isolated on the left side of the equation.

2. Take the square root of both sides:

• √((x + 7)²) = ±√(49/16)

• Remember: When taking the square root of both sides, we need to consider both positive and negative solutions.

3. Simplify:

• x + 7 = ±7/4

4. Solve for x:

• Case 1: x + 7 = 7/4

  • x = 7/4 - 7
  • x = -21/4

• Case 2: x + 7 = -7/4

  • x = -7/4 - 7
  • x = -35/4

Therefore, the solutions to the equation (x + 7)² = 49/16 are x = -21/4 and x = -35/4.