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Quadratic Equations in One Variable — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsQuadratic Equations in One Variable2 Marks
Question
Solve equation by factorization : $x^2 – 3x – 10 = 0$
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Answer

$x^2 – 3x – 10 = 0$
$\Rightarrow x^2 – 5x + 2x – 10 = 0$
$\Rightarrow x(x – 5) + 2(x – 5) = 0$
$\Rightarrow (x - 5) (x + 2) = 0$
Either $x - 5 = 0,$
then $x = 5$
or
$x + 2 = 0,$
then $x = -2$
Hence $x = 5, -2.$

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