SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given quadratic equation
[tex]9x^2=4[/tex]
STEP 2: Divide both sides by 9
[tex]\begin{gathered} \frac{9x^2}{9}=\frac{4}{9} \\ x^2=\frac{4}{9} \end{gathered}[/tex]
STEP 3: Find the square root of both sides
[tex]\begin{gathered} \sqrt{x^2}=\pm\sqrt{\frac{4}{9}}=\pm\frac{\sqrt{4}}{\sqrt{9}} \\ \\ x=\pm\frac{2}{3} \\ x=\frac{2}{3}\text{ }or\text{ }-\frac{2}{3} \end{gathered}[/tex]
Hence, the solution will be:
[tex]x=\frac{2}{3}\text{ }and\text{ }x=-\frac{2}{3}[/tex]
