Show the following quadratic equation by factorization method: x2… - Vidyadip

Question

Show the following quadratic equation by factorization method:
x² + 2x + 2 = 0

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Answer

x² + 2x + 2 = 0
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where D = b² - 4ac
= 2² - 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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