is $\displaystyle x^2+4x$ equal to x= ±√4
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depends on what $\displaystyle x^2 + 4x$ is equal to ... did you leave that part out?
well the original problem is this: i am trying to get the factored forms for the top and bottom so i can use sign analysis to determine the answer(s) maybe it did not show up for you but it says x= plus or minus the squarerootof 4 for the first post
$\displaystyle \frac{n^2+4n+4}{n^2+4n} > 0$ $\displaystyle \frac{(n+2)^2}{n(n+4)} > 0$ critical values are $\displaystyle n = -2$, $\displaystyle n = 0$, and $\displaystyle n = -4$ now do your sign analysis.
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