Can I factor a quadratic w/ a neg. x^2?
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you can, but its usually more effort than what its worth
it depends on the quad
I'm trying to solve a limit question and it has two quadratics undera radical, so I have to simplify. \[2+ x - x^2\]
-x^2+x+2 -(x^2-x-2) -(x-2)(x+1)
thank you -- I still can't figure out my limit, but thanks
what is it?
Lim as X goes to -Sqrt (2\[\lim x \rightarrow -1 \sqrt{2+x-x ^{2 } /x ^{2+4x+3}?}\]
the denominator under the radical is x^2 +4x +3 I couldn't get it to read the right way in the editor. Thanks!
wow that looks crazy
\[\lim_{x \rightarrow -1} \sqrt{\frac{2+x-x^2}{x^2+4x+3}}\]
is that right?
yes! Its confusing to me
\[\lim_{x \rightarrow -1}\sqrt{\frac{-1(x^2-x-2)}{(x+3)(x+1)}}=\lim_{x \rightarrow -1}\sqrt{\frac{-1(x+1)(x-2)}{(x+3)(x+1)}}\]
x+1 's cancel right! :)
\[\lim_{x \rightarrow -1}\sqrt{\frac{-1(x-2)}{x+3}}=\sqrt{\frac{-1(-1-2)}{-1+3}}=\sqrt{\frac{-1(-3)}{2}}=\sqrt{\frac{3}{2}}\]
\[\sqrt{\frac{3}{2}}=\frac{\sqrt{3}}{\sqrt{2}}*\frac{\sqrt2}{\sqrt2}=\frac{\sqrt{6}}{2}\]
yes -- got that great! Thats it! They have the answer as being sqare root of 6 /2. How do they get it in that form? Ah -- Thank you!!!!
lol you didn't see what i typed until you got to the thank part lol right?
Can I give you another tricky one?
yes of course
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