Show the following quadratic equation by factorization method: x^… - Vidyadip

Question

Show the following quadratic equation by factorization method: $x^2 + 2x + 2 = 0$

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Answer

$x^2 + 2x + 2 = 0$ We will apply discriminant rule, $\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$ Where $D = b^2 - 4ac = 2^2 - 4.1.2 = 4 - 8 = -4$ From (A) $\text{x}=-\frac{(-2)\pm\sqrt{-4}}{2}$
$=\frac{-2\pm2\text{i}}{2}$ $=-1\pm\text{i}$ $\therefore\text{x}=-1+\text{i},-1-\text{i}$

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