Question 131574
{{{36x^2=25}}}


Divide both sides by 36:


{{{x^2=25/36}}}


Take the square root of both sides, remembering to consider both the positive and negative roots:


{{{x=sqrt(25/36)}}} or {{{x=-sqrt(25/36)}}}.



Recall that {{{sqrt(a/b)=sqrt(a)/sqrt(b)}}}, so:


{{{x=sqrt(25)/sqrt(36)}}} or {{{x=-sqrt(25)/sqrt(36)}}}
{{{x=5/6}}} or {{{x=-5/6}}}


Check:

{{{36(5/6)^2=36(25/36)=25}}} and {{{36(-5/6)^2=36(25/36)=25}}}  Answer checks.