Answer:
The solution of the equation is [tex]x=\pm 3[/tex]
Step-by-step explanation:
Given : Equation [tex]6x^2=54[/tex]
To find : Solve the equation using square roots?
Solution :
The given equation is [tex]6x^2=54[/tex]
Step 1 - First we divide the equation by 6
[tex]\frac{6x^2}{6}=\frac{54}{6}[/tex]
[tex]x^2=9[/tex]
Step 2 - Taking square root both side,
[tex]\sqrt{x^2}=\sqrt{9}[/tex]
[tex]x=\pm 3[/tex]
Therefore, The solution of the equation is [tex]x=\pm 3[/tex]