Show the following quadratic equation by factorization method: 6x… - Vidyadip

Question

Show the following quadratic equation by factorization method:
$6x^2 - 17ix - 12 = 0$

✓

Answer

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

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