Question
Show the following quadratic equation by factorization method:
6x2 - 17ix - 12 = 0

Answer

6x2 - 17ix - 12 = 0
⇒ 6x2 - 17ix + 12i2 = 0
⇒ 6x2 - 9ix - 8ix + 12i2 = 0
⇒ 3x (2x - 3i) -4i (2x - 3i) = 0
⇒ (3x - 4i) (2x - 3i) = 0
$\Rightarrow\text{x}=\frac{4}{3}\text{i}\ \text{or }\frac{3}{2}\text{i}$

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