How do you solve √x+4=−3?

1 Answer
MeneerNask
Jul 23, 2015

There's no real answer to this one.

Explanation:

If you subtract 4 on both sides you get:

√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]}

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