Question 170111


{{{3x^2=8}}} Start with the given equation.



{{{x^2=(8)/(3)}}} Divide both sides by {{{3}}}.



{{{x=0+-sqrt(8/3)}}} Take the square root of both sides.



{{{x=sqrt(8/3)}}} or {{{x=-sqrt(8/3)}}} Break up the "plus/minus" to form two equations.



{{{x=(2*sqrt(6))/3}}} or {{{x=-(2*sqrt(6))/3}}}  Simplify the square root.



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Answer:



So the solutions are {{{x=(2*sqrt(6))/3}}} or {{{x=-(2*sqrt(6))/3}}}.