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Expression Formation

Solve 2x2+9...

Question

Solve
$2 x^{2} + 9 x + 17 = x^{2} + 16 x + 5$

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Solution

$2 x^{2} + 9 x + 17 = x^{2} + 16 x + 5 2 x^{2} + 9 x + 17 - x^{2} - 16 x - 5 = 0 x^{2} - 7 x + 12 = 0 x^{2} - 4 x - 3 x + 12 = 0 x (x - 4) - 3 (x - 4) = 0 (x - 3) (x - 4) = 0 x = 3, 4$

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