Show the following quadratic equation by factorization method: 13… - Vidyadip

Question

Show the following quadratic equation by factorization method:
13x² - 7x + 1 = 0

✓

Answer

13x² - 7x + 1 = 0
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where D = b² - 4ac
= 7² - 4.13.1
= 49 - 52
= -3
From (A)
$\text{x}=\frac{-7\pm\sqrt{-3}}{2.13}$
$=\frac{-7\pm2\sqrt{3}\text{ i}}{26}$
$\therefore\text{x}=\frac{-7}{26}\pm\frac{\sqrt{3}}{26}\ \text{i}$

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