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Solving a Quadratic Equation by Completion of Squares Method

Write the fol...

Question

Write the following equation in the form $a x^{2} + b x + c = 0$ .
$x (x + 2) = 3$

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Solution

$x (x + 2) = 3 \Rightarrow x^{2} + 2 x = 3 \Rightarrow x^{2} + 2 x - 3 = 3 - 3$
$\Rightarrow x^{2} + 2 x - 3 = 0$ Here a = 1, b = 2, c = -3

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