Question

I need help on this :)

Answer 1

Explanation

We are given the following equation:

`x^2=-12`

We are required to determine the solution of the given equation.

This is achieved thus:

`\begin{gathered} x^2=-12 \\ \text{ Square root both sides} \\ x=\pm√(-12) \\ \text{ We know that }√(-1)=i \\ x=\pm√(3*4*-1) \\ x=\pm√(3)*2* i \\ x=\pm2√(3)i \\ x=-2√(3)i\text{ }or\text{ }2√(3)i \end{gathered}`

The only solution to this equation involves complex numbers. So, there is no real solution.

Hence, the answer is:

`No\text{ }solution`