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OpenStudy (anonymous):
Help!!!
OpenStudy (anonymous):
This isn't too hard, just isolate x to one side.
OpenStudy (anonymous):
\[ 5x^2 = -30x - 65\] start with
\[5x^2+30x+65=0\] then maybe factor
OpenStudy (anonymous):
Satellite explained it. And wo, I've never seen a 100 as a SmartScore.
OpenStudy (anonymous):
even easier if you divide by \(5\) and start with
\[x^2+6x+13=0\] which i now see does not factor, hmm guess you need the quadratic formula
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OpenStudy (anonymous):
and in fact there are no real solutions, only two complex ones
OpenStudy (anonymous):
x = -3 ± 2i
x = -3 ± 4i
x = -6 ± 2i
x = -6 ± 4i
OpenStudy (anonymous):
yes, it is one of those
definitely complex
OpenStudy (anonymous):
is it
a or c\
OpenStudy (anonymous):
easiest to solve in this case by completing the square, because the middle term is \(6x\)
you have \[x^2+6x+13=0\\
x^2+6x=-13\\
(x+3)^2=-13+3^2\\
(x+3)^2=-4\\
x+3=\pm\sqrt{-4}\\
x+3=\pm2i\\x=-3\pm2i\]
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