Question 185115


{{{3x^2-5=16}}} Start with the given equation.



{{{3x^2=16+5}}}Add {{{5}}} to both sides.



{{{3x^2=21}}} Combine like terms.



{{{x^2=(21)/(3)}}} Divide both sides by {{{3}}}.



{{{x^2=7}}} Reduce.



{{{x=0+-sqrt(7)}}} Take the square root of both sides.



{{{x=sqrt(7)}}} or {{{x=-sqrt(7)}}} Break up the "plus/minus" to form two equations.




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Answer:



So the solutions are {{{x=sqrt(7)}}} or {{{x=-sqrt(7)}}} .