Answer:
The positive solution to x is;
[tex]\frac{3}{2}[/tex]Explanation:
Given that;
[tex]x^2=\frac{9}{4}[/tex]We want to solve for x;
Firstly, let's square root both sides of the equation;
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt[]{\frac{9}{4}} \\ x=\pm\sqrt[]{\frac{3^2}{2^2}}=\pm\sqrt[]{(\frac{3}{2})^2} \\ x=\pm\frac{3}{2} \end{gathered}[/tex]Therefore, the positive solution to x is;
[tex]\frac{3}{2}[/tex]