# How do you solve #sqrt(x-3)-sqrtx=3#?

##### 1 Answer

Jul 28, 2016

#### Answer:

There are no solutions.

#### Explanation:

The equation given can be reformed to give:

This is equivalent to asking where two functions intersect. The functions in this case are:

Merely observing the graph of the functions makes it clear that the two will never intersect:

graph{(y-sqrt(x-3))(y-sqrt(x)+3)=0 [-10.97, 46.77, -9.94, 18.93]}

You may note that the functions appear to head toward one another at