# How do you solve #sqrt(x+10)=-3#?

##### 1 Answer

May 2, 2016

#### Answer:

This has no solution.

#### Explanation:

The left hand side denotes the principal square root of

If

If

Note that the normal way to attempt to solve such an equation would be to start by squaring both sides, giving:

#x+10 = 9#

and hence:

#x = -1#

Then the left hand side of the original equation is:

#sqrt(x+10) = sqrt(-1+10) = sqrt(9) = 3 != -3#