SOLUTION: {{{root(3,5x-6)=root(3,x^2+5x-11)}}}

Algebra ->  Graphs -> SOLUTION: {{{root(3,5x-6)=root(3,x^2+5x-11)}}}      Log On


   

Question 134952: root%283%2C5x-6%29=root%283%2Cx%5E2%2B5x-11%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C5x-6%29=root%283%2Cx%5E2%2B5x-11%29 Start with the given equation


5x-6=x%5E2%2B5x-11 Cube both sides


5x-6-5x%2B11=x%5E2%2B5x Subtract 5x from both sides. Add 11 to both sides.


5=x%5E2 Combine like terms


0%2B-sqrt%285%29=x Take the square root of both sides


So our answer is

x=sqrt%285%29 or x=-sqrt%285%29