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