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

Question

Show the following quadratic equation by factorization method: $13x^2 - 7x + 1 = 0$

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Answer

$13x^2 - 7x + 1 = 0$ We will apply discriminant rule, $\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$ Where $D = b^2 - 4ac = 7^2 - 4.13.1 = 49 - 52 = -3$ 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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