Solve (x-2)^2 = 2x

Evaluate

(x - 2)^{2} = 2 x

Expand the expression

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x^{2} - 4 x + 4 = 2 x

Move the expression to the left side

x^{2} - 6 x + 4 = 0

Substitute a= 1,b= - 6 and c= 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 4}{2}

Simplify the expression

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x = \frac{6 \pm 20}{2}

Simplify the radical expression

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x = \frac{6 \pm 2 5}{2}

Separate the equation into 2 possible cases

x = \frac{6 + 2 5}{2} x = \frac{6 - 2 5}{2}

Simplify the expression

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x = 3 + 5 x = \frac{6 - 2 5}{2}

Simplify the expression

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x = 3 + 5 x = 3 - 5

Solution

x_{1} = 3 - 5, x_{2} = 3 + 5

Alternative Form

x_{1} \approx 0.763932, x_{2} \approx 5.236068

Solve the quadratic equation