Show the following quadratic equation: x2 + 4ix - 4 = 0 - Vidyadip

Question

Show the following quadratic equation:
x² + 4ix - 4 = 0

✓

Answer

x² + 4ix - 4 = 0
⇒ x² + 4ix + 4i² = 0
⇒ x² + 2ix + 2ix + 4i² = 0
⇒ x (x + 2i) + 2i (x + 2i) = 0
⇒ (x + 2i) (x + 2i) = 0
⇒ x = -2i, -2i

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