How do you solve #sqrt(x-3)-sqrtx=3#?
1 Answer
Jul 28, 2016
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