Show the following quadratic equation by factorization method: 5x… - Vidyadip

Question

Show the following quadratic equation by factorization method:
5x² + 6x + 2 = 0

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Answer

5x² + 6x + 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
= 36 - 40
= 4 - 8
= -4
From (A)
$\text{x}=-\frac{-(-6)\pm\sqrt{-4}}{2.5}$
$=\frac{6\pm2\text{i}}{10}$
$=\frac{3\pm\text{i}}{5}$
$\therefore\text{x}=\frac{3}{5}+\frac{\text{i}}{5},\frac{3}{5}-\frac{\text{i}}{5}$

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