Show the following quadratic equation by factorization method: x2… - Vidyadip

Question

Show the following quadratic equation by factorization method:
x² + 1 = 0

✓

Answer

x² + 1 = 0
⇒ x²+ i² = 0 [$\because$ i² = -1]
⇒ (x + i) (x - i) = 0 [a² - b² = (a + b) (a - b)]
⇒ x = i, -i

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