Question

What is the solution of the equation over the complex numbers?

X^2 + 12 = 0

Answer 1

±2i
`√(3)`

Explanation:

We can use the quadratic formula to solve.

Plug in the values into:

`(-b+-√(b^2-4ac))/(2a)`

a = 1

b = 0

c = 12

Since the discriminant is negative, we can take out the
`√(-1)` which is known as the imaginary number,
`i`.

When we take this out, we can simplify
`√(48)` into
`4√(3)`. We can divide 4 by 2, and we get our answer as, ±2i
`√(3)`.