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

Question

Show the following quadratic equation by factorization method:
17x² - 28x + 12 = 0

✓

Answer

17x² + 28x + 12 = 0
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where D = b² - 4ac
= (-28)² - 4.17.12
= 784 - 816
= -32
From (A)
$\text{x}=\frac{-28\pm\sqrt{-32}}{2.17}$
$=\frac{-28\pm4\sqrt{2}\text{i}}{34}$
$\therefore\text{x}=\frac{-14\pm2\sqrt{2}\text{i}}{17}$

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