Show the following quadratic equation: ix^2 - 4x - 4i = 0 - Vidyadip

Question

Show the following quadratic equation:
$ix^2 - 4x - 4i = 0$

✓

Answer

$ix^2 - 4x - 4i = 0$
$\Rightarrow ix^2 + 4i^2x + 4i^3 = 0$
$\Rightarrow x^2 + 4ix + 4i^2 = 0$
$\Rightarrow x^2 + 2ix + 2ix + 4i^2 = 0$
$\Rightarrow x (x + 2i) + 2i (x + 2i) = 0$
$\Rightarrow (x + 2i) (x + 2i)$
$\therefore\text{x}=-2\text{i},-2\text{i}$

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