Question 187686
I think you meant to write {{{9x^2=14}}} right?



{{{9x^2=14}}} Start with the given equation.



{{{x^2=14/9}}} Divide both sides by 9.



{{{x=sqrt(14/9)}}} or {{{x=-sqrt(14/9)}}} Take the square root of both sides (don't forget the "plus/minus")



{{{x=sqrt(14)/sqrt(9)}}} or {{{x=-sqrt(14)/sqrt(9)}}} Break up the square root.



{{{x=sqrt(14)/3}}} or {{{x=-sqrt(14)/3}}} Take the square root of 9 to get 3



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Answer: 



So the solutions are {{{x=sqrt(14)/3}}} or {{{x=-sqrt(14)/3}}}