Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Solving the Following Quadratic Equation by Factorization Method: 6 X 2 − 17 I X − 12 = 0 - Mathematics

Solving the following quadratic equation by factorization method:

$6 x^2 - 17ix - 12 = 0$

#### Solution

$6 x^2 - 17ix - 12 = 0$

$\Rightarrow 6 x^2 - 9ix - 8ix - 12 = 0$

$\Rightarrow 3x\left( 2x - 3i \right) - 4i\left( 2x - 3i \right) = 0$

$\Rightarrow \left( 2x - 3i \right)\left( 3x - 4i \right) = 0$

$\Rightarrow \left( 2x - 3i \right) = 0 or \left( 3x - 4i \right) = 0$

$\Rightarrow x = \frac{3}{2}i, \frac{4}{3}i$

$\text { So, the roots of the given quadratic equation are } \frac{3}{2}i \text { and } \frac{4}{3}i .$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook