(x+7)^2=49/16

less than a minute read Jun 17, 2024
(x+7)^2=49/16

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.

Related Post


Featured Posts