# How do you solve #sqrt( x -10) = 5x#?

##### 2 Answers

#### Answer:

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.

#### Answer:

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