How do you solve #sqrt(9x-8)=x#?
Right from the start, you know that your solution(s) must satisfy two conditions
#x>=0# #9x-8>=0 implies x>=8/9#
Overall, you need your solution(s) to satisfy
Start by squaring both sides of the equation to get rid of the radical term
This is equivalent to
The two solutions to this quadratic can be found using the quadratic formula
Do a quick check to make sure that the calculations are correct