Answer:
[tex]x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
Step-by-step explanation:
Given equation:
[tex]3x^2=118[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3x^2}{3}=\dfrac{118}{3}[/tex]
[tex]\implies x^2=\dfrac{118}{3}[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
