Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

2x^2e^-x = 18e^-x

OpenStudy (lgbasallote):

\(\large 2x^2 e^{-x} = 18e^{-x}\) is that it?

OpenStudy (anonymous):

\[2x ^{2}e ^{-x}=18e ^{-x}\]

OpenStudy (anonymous):

Yes

OpenStudy (lgbasallote):

uhmmm see how e^-x is common to both sides of the equation?

OpenStudy (anonymous):

Yes.

OpenStudy (lgbasallote):

when you see those..your first thought should be to divide both sides

OpenStudy (anonymous):

By e^-x to get rid of them?

OpenStudy (lgbasallote):

yup

OpenStudy (henryblah):

\[e^{-x} (x^2-9)=0\] \[e ^{-x}=0\] No solution (x+3)(x-3)=0 x=3,-3

OpenStudy (lgbasallote):

there should be a coefficient of 2 in your e^-x...but still void haha

OpenStudy (lgbasallote):

^that's another way to do it :D

OpenStudy (anonymous):

Where did the 9 come from?

OpenStudy (lgbasallote):

he did it like this \(2x^2 e^{-x} - 18e^{-x} = 0\) \(e^{-x} (2x^2 - 18) = 0\) \(2e^{-x}(x^2 - 9) = 0\)

OpenStudy (henryblah):

@lgbasallote You can just divide both sides by 2. No x terms.

OpenStudy (lgbasallote):

yeah like i side wouldnt make a difference =))

OpenStudy (lgbasallote):

said* lol what am i saying

OpenStudy (anonymous):

ok cool... thank you.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!