x^2 5x2+32 = 0 x^2 10x4 + 2516 2516 + 32 = 0 (x 52)^2 = 116 (x 52) = ±14 x = 114 or 94 ...

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Quadratic Formula

Solve 2x2-5...

Question

Solve $2 x^{2} - 5 x + 3 = 0$ .

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Solution

$x^{2} - \frac{5 x}{2} + \frac{3}{2} = 0$
$x^{2} - \frac{10 x}{4} + \frac{25}{16} - \frac{25}{16} + \frac{3}{2} = 0$
$(x - \frac{5}{2})^{2} = \frac{1}{16}$
$(x - \frac{5}{2}) = \pm \frac{1}{4}$
$x = \frac{11}{4}$ or $\frac{9}{4}$

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