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

Question

Show the following quadratic equation by factorization method:
17x² - 8x + 1 = 0

✓

Answer

17x² - 8x + 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
= (-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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