Show the following quadratic equation by factorization method: 8x… - Vidyadip

Question

Show the following quadratic equation by factorization method:
8x² - 9x + 3 = 0

✓

Answer

8x² - 9x + 3 = 0
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where D = b² - 4ac
= (-9)² - 4.8.3
= 81 - 96
= -15
From (A)
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}$
$=\frac{-(-9)\pm\sqrt{-15}}{2.8}$
$=\frac{-9\pm\sqrt{15}\text{ i}}{16}$
$\therefore\text{x}=\frac{9\pm\sqrt{15}\text{ i}}{16}$

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