SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation
[tex]4x^2=100[/tex]
STEP 2: Divide both sides by 4
[tex]\begin{gathered} \frac{4x^2}{4}=\frac{100}{4} \\ x^2=25 \end{gathered}[/tex]
STEP 3: find the square root of both sides
[tex]\begin{gathered} \sqrt{x^2}=\sqrt{25} \\ x=\pm5 \\ \therefore x=5,x=-5 \end{gathered}[/tex]
Hence, the solution of the quadratic equation are:
[tex]\begin{gathered} x=5 \\ x=-5 \end{gathered}[/tex]
