Show the following quadratic equation by factorization method: 17… - Vidyadip

Question

Show the following quadratic equation by factorization method:
$17x^2 - 8x + 1 = 0$

✓

Answer

$17x^2 - 8x + 1 = 0$
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where $D = b^2 - 4ac$
$= (-8)^2 - 4.17.1$
$= 64 - 68$
$= -4$
From $(A)$
$\text{x}=\frac{-(-8)\pm\sqrt{-4}}{2.17}$
$=\frac{8\pm2\text{i}}{34}$
$=\frac{4\pm\text{i}}{17}$
$\therefore\text{x}=\frac{4}{17}+\frac{\text{i}}{17},\frac{4}{17}-=\frac{\text{i}}{17}$

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