Question

What value or values can you substitute for x in x^2= 9 to make the equation true?

Answer 1

Given the equation:

`x^2=9`

To determine the value of x, we take the square root of both sides.

Note that before the square root of a number, we always have the plus/minus sign.

`\begin{gathered} √(x^2)=\pm√(9) \\ x=\pm3 \end{gathered}`

Therefore, the values of x that can make the equation true are 3 and -3.

Check

`\begin{gathered} 3^2=9 \\ (-3)^2=9 \end{gathered}`