Answer :
Hello!
We have the equation:
[tex]x^2=27[/tex]The first thing to solve it is to calculate the square root of each side, look:
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{27} \\ x=\sqrt[]{27} \end{gathered}[/tex]Let's calculate this square root by factorization:
[tex]\sqrt[]{27}=+-3\sqrt[]{3}[/tex]Remember that when we talk about square roots, we must remember that we have two possible values: the positive and the negative. So, x will have two solutions, look:
[tex]\begin{gathered} x_1=3\sqrt[]{3} \\ \\ x_2=-3\sqrt[]{3} \end{gathered}[/tex]Answering your question, this equation has two solutions.