Question 148769

{{{81x^2-144=0}}} Start with the given equation.



{{{81x^2=0+144}}} Add {{{144}}} to both sides.



{{{81x^2=144}}} Combine like terms on the right side.



{{{x^2=(144)/(81)}}} Divide both sides by {{{81}}} to isolate {{{x^2}}}.



{{{x^2=16/9}}} Reduce.



{{{x=0+-sqrt(16/9)}}} Take the square root of both sides.



{{{x=sqrt(16/9)}}} or {{{x=-sqrt(16/9)}}} Break up the expression



{{{x=sqrt(16)/sqrt(9)}}} or {{{x=-sqrt(16)/sqrt(9)}}} Break up the square root.



{{{x=4/3}}} or {{{x=-4/3}}} Take square root of 16 to get 4. Take square root of 9 to get 3.



So the answers are {{{x=4/3}}} or {{{x=-4/3}}}