Show the following quadratic equation by factorization method: x2… - Vidyadip

Question

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

✓

Answer

x² - x + 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
= (-1)² - 4.1.1
= 1 - 4
= -3
From (A)
$\therefore\text{x}=\frac{-(-1)\pm\sqrt{-3}}{2}$
$=\frac{1\pm\sqrt{3\text{i}}}{2}$
$\therefore\text{x}=\frac{1}{2}+\frac{\sqrt{3}}{2}\ \text{i},\frac{1}{2}-\frac{\sqrt{3}}{2}\ \text{i}$

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