(x+7)^2=576

less than a minute read Jun 17, 2024
(x+7)^2=576

Solving the Equation (x + 7)^2 = 576

This equation involves a squared term, so we'll need to 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] = ±√576

3. Simplify:

x + 7 = ±24

4. Solve for x:

  • Case 1: x + 7 = 24 x = 24 - 7 x = 17

  • Case 2: x + 7 = -24 x = -24 - 7 x = -31

Therefore, the solutions to the equation (x + 7)^2 = 576 are x = 17 and x = -31.

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