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OpenStudy (anonymous):
determine the real roots : (5x^2+20) (3x^2-48)
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OpenStudy (anonymous):
since the numerator is what will cause y=0
you want the numerator to = 0
\[5x^2+20=0\]
\[5x^2=-20\]
\[x^2=-4\]
\[x=\sqrt{-4}\]
\[x=\pm 2i\]
OpenStudy (anonymous):
there is only complex roots
OpenStudy (anonymous):
thaank you (:
OpenStudy (anonymous):
I don't think that's the question.
OpenStudy (anonymous):
the answer is + 4 or -4
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OpenStudy (anonymous):
y =(5x^2+20)(3x^2-48)
has real roots at x = +/- 4
OpenStudy (anonymous):
how did you solve for that? O:
OpenStudy (anonymous):
roots when y = 0
ie when
(x^2+4) = 0
or
(x^2 - 16) = 0
OpenStudy (anonymous):
oh i saw it as division... -.-
OpenStudy (anonymous):
yes the second part would be
\[3(x^2-16)\]
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OpenStudy (anonymous):
\[=(x+4)(x-4)\]
OpenStudy (anonymous):
x^2 = -4 x= sqrt(-2) x= +/- 2i *imaginary root*
x^2 =16 x =sqrt(4) = +/- 4
OpenStudy (anonymous):
\[(5x^2+20)(3x^2-48)\]
\[5(x^2+4)3(x^2-16)\]
\[15(x^2+4)(x^2-16)\]
\[15 \neq 0\]
\[x^2+4=0\]
\[x^2=-4\]
\[x=\pm 2i\]
\[x^2-16=0\]
\[x^2=16\]
\[x=\pm 4\]
\[15(x-2i)(x+2i)(x-4)(x+4)\]
OpenStudy (anonymous):
what does the i stand for ?
OpenStudy (anonymous):
nvm i get it (: thank you
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