# How do you solve sqrtx + 4 = -3?

Jul 23, 2015

There's no real answer to this one.

#### Explanation:

If you subtract $4$ on both sides you get:

$\sqrt{x} = - 7$

Now, by definition, a square root cannot have a negative argument, nor a negative outcome, so there is no answer in the real numbers.
See domain and range of the graph below:
graph{sqrtx [-7.05, 24.98, -6.8, 9.22]}