Problem

$I \rightarrow(x-2)(x+2) \rightarrow(x$

Answer

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Answer

\(\boxed{x = \frac{1}{2} - \frac{\sqrt{17}}{2}, x = \frac{1}{2} + \frac{\sqrt{17}}{2}}\)

Steps

Step 1 ：Given the expression: \((x-2)(x+2)\)

Step 2 ：Set the expression equal to x: \((x-2)(x+2) = x\)

Step 3 ：Solve for x: \(x^2 - 4 = x\)

Step 4 ：Rearrange the equation: \(x^2 - x - 4 = 0\)

Step 5 ：Find the solutions for x: \(x = \frac{1}{2} - \frac{\sqrt{17}}{2}\) and \(x = \frac{1}{2} + \frac{\sqrt{17}}{2}\)

Step 6 ：\(\boxed{x = \frac{1}{2} - \frac{\sqrt{17}}{2}, x = \frac{1}{2} + \frac{\sqrt{17}}{2}}\)

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