Question

What is the positive solution to x to the 2 power = 9/4

Answer 1

The positive solution to x is;

`(3)/(2)`

Step-by-step explanation:

Given that;

`x^2=(9)/(4)`

We want to solve for x;

Firstly, let's square root both sides of the equation;

`\begin{gathered} \sqrt[]{x^2}=\sqrt[]{(9)/(4)} \\ x=\pm\sqrt[]{(3^2)/(2^2)}=\pm\sqrt[]{((3)/(2))^2} \\ x=\pm(3)/(2) \end{gathered}`

Therefore, the positive solution to x is;

`(3)/(2)`