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Solving a Quadratic Equation by Completion of Squares Method

Solve: 2x2+5...

Question

Solve:
$2 x^{2} + 5 x + 3 =$ ?

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Solution

$2 x^{2} + 5 x + 3 = 0$

$2 x^{2} + 2 x + 3 x + 3 = 0$

$2 x (x + 1) + 3 (x + 1) = 0$

$(x + 1) (2 x + 3) = 0$

$x = - 1, - \frac{3}{2}$

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2 x^{2} + 5 x = 3

2 x^{2} - 5 x + 3 = 0

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