Answer:
C. ±4/5
Explanation:
Given the equation
[tex]25x^2=16[/tex]The first step is to divide both sides by 25 to isolate the variable x.
[tex]\begin{gathered} \frac{25x^2}{25}=\frac{16}{25} \\ x^2=\frac{16}{25} \end{gathered}[/tex]Next, we take the square roots of both sides of the equation.
[tex]\begin{gathered} \sqrt{x^2}=\pm\sqrt{\frac{16}{25}} \\ x=\pm\frac{4}{5} \end{gathered}[/tex]The correct choice is C.
