Question

Evaluate x² + 2 = 0

Answer 1

This equation is a quadratic equation.

Solution of a general quadratic equation ax² + bx + c = 0 is given by:

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

Given:

⇒x² + 2 = 0

⇒x² = -2

⇒x = ± √(-2)

But we know that √(-1) = i

⇒ x = ±√2 i

Ans: x = ±√2 i