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Quadratic Equations — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsQuadratic Equations2 Marks
Question
Solve the following quadratic equation:$x^2 + 12x + 35 = 0$
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Answer

$x^2 + 12x + 35 = 0$
$\Rightarrow x^2 + 7x + 5x + 35 = 0$
$\Rightarrow x(x + 7) + 5(x + 7) = 0$
$\Rightarrow (x + 7)(x + 5) = 0$
$\Rightarrow x + 7 = 0 or x + 5 = 0$
$\Rightarrow x = -7 or x = -5$

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