Evaluate x2 + 2 = 0

1.	Evaluate x2 + 2 = 0
Answer» 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

Answer»

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

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