Question

Solve X^2 = 45 , where x is a real number .

Answer 1

The given equation is

`x^2=45`

To solve it, take a square root for each side

`\begin{gathered} \sqrt[]{x^2}=\pm\sqrt[]{45} \\ x=\pm\sqrt[]{45} \end{gathered}`

Since 45 = 5 x 9, then

`\begin{gathered} x=\pm\sqrt[]{9*5} \\ x=\pm\sqrt[]{9}*\sqrt[]{5} \\ x=\pm3\sqrt[]{5} \end{gathered}`

The solutions are

`x=-3\sqrt[]{5},3\sqrt[]{5}`