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Solving a Quadratic Equation by Completion of Squares Method

Solve: x2-4x...

Question

Solve: $x^{2} - 4 x + 1 + 3 = 0$

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Solution

$\Rightarrow x^{2} - 4 x + 4 = 0$
$\Rightarrow x^{2} - 2 \times x \times 2 + 2^{2} = 0$
$\Rightarrow {(x - 2)}^{2} = 0$
$∴ x = 2$

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