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Quadratic Equations

Solve : 2x2...

Question

Solve : $2 x^{2} + 7 x + 5 = 0$

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Solution

given, $2 x^{2} + 7 x + 5$

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

$= 2 x (x + 1) + 5 (x + 1)$

$= (x + 1) (2 x + 5)$

$x = - 1, \frac{- 5}{2}$

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