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Solving a Quadratic Equation by Completion of Squares Method

Solve x2 - ...

Question

Solve $x^{2} - 4 x + 1 = 0$ by completing square method.

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Solution

$x^{2} - 4 x + 1 = 0$

$(x - 2)^{2} - 4 + 1 = 0$

$(x - 2)^{2} = 3$

$(x - 2) = + \sqrt{3} o r - \sqrt{3}$

$x = 2 + \sqrt{3} o r x = 2 - \sqrt{3}$

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