The problem is to solve the equation $\sqrt{x-D} = \frac{A^2}{A}$ for $x$.

AlgebraEquation SolvingSquare RootsVariablesSimplification
2025/7/4

1. Problem Description

The problem is to solve the equation xD=A2A\sqrt{x-D} = \frac{A^2}{A} for xx.

2. Solution Steps

First, simplify the right side of the equation:
A2A=A\frac{A^2}{A} = A
Now the equation becomes:
xD=A\sqrt{x-D} = A
Square both sides of the equation to eliminate the square root:
(xD)2=A2(\sqrt{x-D})^2 = A^2
xD=A2x-D = A^2
Add DD to both sides of the equation to isolate xx:
x=A2+Dx = A^2 + D

3. Final Answer

x=A2+Dx = A^2 + D

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