Question 976853
I only partially checked your first step.  Assuming your work is correct to the last equation shown, you now have a quadratic equation and can use general solution of a quadratic equation to solve for x.


{{{x^2-5sqrt(2)x+6=0}}}


{{{x=(5sqrt(2)+- sqrt(25*2-4*6))/2}}}-----you can simplify this yourself, and check if it is acceptable in the originally-given equation.


{{{highlight((5sqrt(2)+- sqrt(26))/2)}}}