Solve X^2 = -54 where x is a real number

We are given the following equation:
[tex]x^2=-54[/tex]To solve this equation we will take the square root to both sides:
[tex]x=\sqrt[]{-54}[/tex]We are given that "x" is a real number, but the square root of a negative number does not exist in the real numbers therefore, this equation has no solution.