Explanation
We are given the following equation:
[tex]x^2=-12[/tex]
We are required to determine the solution of the given equation.
This is achieved thus:
[tex]\begin{gathered} x^2=-12 \\ \text{ Square root both sides} \\ x=\pm\sqrt{-12} \\ \text{ We know that }\sqrt{-1}=i \\ x=\pm\sqrt{3\times4\times-1} \\ x=\pm\sqrt{3}\times2\times i \\ x=\pm2\sqrt{3}i \\ x=-2\sqrt{3}i\text{ }or\text{ }2\sqrt{3}i \end{gathered}[/tex]
The only solution to this equation involves complex numbers. So, there is no real solution.
Hence, the answer is:
[tex]No\text{ }solution[/tex]
