Problem

a) $x^{2}-2=2 x-4$

Answer

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Answer

\(\boxed{x \approx 2.732, x \approx -0.732}\)

Steps

Step 1 ：Rewrite the equation in the standard form: \(x^2 - 2x - 2 = 0\)

Step 2 ：Use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 1\), \(b = -2\), and \(c = -2\)

Step 3 ：Calculate the discriminant: \(\Delta = b^2 - 4ac = 12\)

Step 4 ：Find the solutions for x: \(x \approx 2.732\) and \(x \approx -0.732\)

Step 5 ：\(\boxed{x \approx 2.732, x \approx -0.732}\)

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