Explanation
We are given the following equation:
[tex]x^2=\frac{144}{81}[/tex]
We are required to solve the given equation.
This is achieved thus:
[tex]\begin{gathered} x^2=\frac{144}{81} \\ \text{ Square root both sides} \\ \sqrt{x^2}=\pm\sqrt{\frac{144}{81}} \\ x=\pm\frac{12}{9} \\ \text{ Upon simplification, we have:} \\ x=\pm\frac{4}{3} \end{gathered}[/tex]
Hence, the answer is:
[tex]x=\operatorname{\pm}\frac{4}{3}[/tex]
The first option is correct.
