# How do I find the extraneous solution of #sqrt(x-3)-sqrt(x)=3#?

##### 1 Answer

Sep 28, 2014

by subtracting

by squaring both sides,

by cancelling out

by dividing by 6,

by adding

by squaring both sides,

by adding 3,

Even though all implications above are valid, some of them are not reversible. As a result,