How do you solve #X + sqrt( X + 5) = 7#?
We can write it as follows
The only acceptable solution is x=4
Rearrange, square both sides and solve the resulting quadratic to find two possible solutions, one of which is spurious and the other a solution of the original equation:
Then square both sides to get:
Note that squaring both sides may have introduced a spurious solution, so we need to check later.
which is zero when
Substituting these into the left hand side of the original equation we find: