How do you solve #sqrt( x -10) = 5x#?
2 Answers
There are no Real solutions,
if Complex values are allowed
Explanation:
Given
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
Explanation:
Squaring the two sides in
or
according to quadratic formula, the solution of the
equation
Hence, solution is
or
As discriminant is negative, we only have complex roots,
which are