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Quadratic Equations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsQuadratic Equations1 Mark
Question
Show the following quadratic equation by factorization method:
$x^2 + 1 = 0$
✓

Answer

$x^2 + 1 = 0$
$\Rightarrow x^2+ i^2 = 0$ [$\because$ $i^2 = -1$]
$\Rightarrow (x + i) (x - i) = 0 [a^2 - b^2 = (a + b) (a - b)]$
$\Rightarrow x = i, -i$

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