Question

Solve the Quadratic Equation.

x^2 = -4



Don't know where to start, would appreciate if someone would be able to explain the answer in detail!

Answer 1

x = ± 2i

Explanation:

The equation has no real roots, gut has complex roots

Given

x² = - 4 ( take the square root of both sides )

x = ±
`√(-4)`

= ±
`√(4(-1))`

[ Note that
`√(-1)` = i ]

= ±
`√(4)` ×
`√(-1)` = ± 2i