Question

How many solutions are there to the equation x^2=27

Answer 1

Hello!

We have the equation:

`x^2=27`

The first thing to solve it is to calculate the square root of each side, look:

`\begin{gathered} \sqrt[]{x^2}=\sqrt[]{27} \\ x=\sqrt[]{27} \end{gathered}`

Let's calculate this square root by factorization:

`\sqrt[]{27}=+-3\sqrt[]{3}`

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:

`\begin{gathered} x_1=3\sqrt[]{3} \\ \\ x_2=-3\sqrt[]{3} \end{gathered}`

Answering your question, this equation has two solutions.