Question 134952
{{{root(3,5x-6)=root(3,x^2+5x-11)}}} Start with the given equation



{{{5x-6=x^2+5x-11}}} Cube both sides



{{{5x-6-5x+11=x^2+5x}}}  Subtract 5x from both sides.  Add 11 to both sides. 



{{{5=x^2}}}  Combine like terms



{{{0+-sqrt(5)=x}}}  Take the square root of both sides



So our answer is 


{{{x=sqrt(5)}}} or {{{x=-sqrt(5)}}}