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

\[6 x^2 - 17ix - 12 = 0\]

 
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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
Chapter 14 Quadratic Equations
Exercise 14.2 | Q 1.4 | Page 13
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