How do you solve $sqrt(x + 4) = -3$ ?

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Answer 1 · 2017-02-11T08:32:25

There is no solution

We're dealing with a square root and equating it to a negative number - which is something we can't do.

For example, if $x=-4$ , then the square root is $sqrt((-4)+4)=sqrt0=0$

If, however, we change the value of $x$ to $x=-5$ , then

$sqrt((-5)+4)=sqrt(-1)=i$

and so there's no way to get a negative value from a square root.

How do you solve sqrt(x + 4) = -3sqrt(x + 4) = -3?