# How do you solve #sqrt(9x-8)=x#?

##### 1 Answer

#### Explanation:

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*

Since both

Do a quick check to make sure that the calculations are correct

and