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Quadratic Equations — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsQuadratic Equations3 Marks
Question
Solve the following quadratic equation:$5x^2 + 13x + 8 = 0$
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Answer

$5x^2 + 13x + 8 = 0$
$\Rightarrow 5x^2 + 5x + 8x + 8 = 0$
$\Rightarrow 5x(x + 1) + 8(x + 1) = 0$
$\Rightarrow (x + 1)(5x + 8) = 0$
$\Rightarrow x + 1 = 0$ or $5x + 8 = 0$
$\Rightarrow x = -1$ or $\text{x}=\frac{-8}{5}$

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