How do you solve #sqrt( x -10) = 5x#?
There are no Real solutions,
if Complex values are allowed
Working in the domain of real numbers we must ensure that
Squaring both sides:
Rewriting in standard quadratic form:
Applying the quadratic formula
Because Real numbers do not permit square roots of negative values there are no Real solutions.
We have complex roots only which are
Squaring the two sides in
according to quadratic formula, the solution of the
Hence, solution is
As discriminant is negative, we only have complex roots,