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Mathematics 17 Online
OpenStudy (anonymous):

Pleeezzzzz helpp!!! :)solve for x:

OpenStudy (anonymous):

OpenStudy (anonymous):

the choices are A) x=1/4 and x=2 B) x=-1/4 and X=-2 C)x=1/4 and x=-2 D)x=-1/4 and x=2

mathslover (mathslover):

Given : solve for x .. \[\LARGE{\frac{5}{x^2-1}-\frac{2}{x}=\frac{2}{x+1}}\]

mathslover (mathslover):

now ... first of all .. : add 2/x on both sides

mathslover (mathslover):

that is : \[\large{\frac{5}{x^2-1}-\frac{2}{x}+\frac{2}{x}=\frac{2}{x+1}+\frac{2}{x}}\] \[\large{\frac{5}{x^2-1}=\frac{2}{x+1}+\frac{2}{x}}\]

mathslover (mathslover):

can you solve this ?

OpenStudy (anonymous):

would it end up 7/x^2 ?

mathslover (mathslover):

I think i should solve this here .. you will get your answer on ur own ?

OpenStudy (anonymous):

yes please!

mathslover (mathslover):

\[\LARGE{\frac{5}{x^2-1}=\frac{2}{x+1}+\frac{2}{x}}\] \[\LARGE{\frac{5}{x^2-1}=\frac{2x+2(x+1)}{x(x+1)}}\]

mathslover (mathslover):

what r u getting after simplifying it?

mathslover (mathslover):

dont solve now .. just simplify

OpenStudy (anonymous):

5/x^2-1 x+2/1???

mathslover (mathslover):

\[\LARGE{\frac{5}{x^2-1}=\frac{4x+2}{x^2+1}}\]

mathslover (mathslover):

like this

mathslover (mathslover):

now : \[\LARGE{5(x^2+1)=(4x+2)(x^2-1)}\] \[\LARGE{5x^2+5=4x^3+2x^2-4x-2}\] can u solve it now?

OpenStudy (anonymous):

this is what i got: 3x^2+7=4x^3-4x

OpenStudy (anonymous):

@mathslover

mathslover (mathslover):

ok .. so now solve it .. : 3x^2+7 = 4x^3-4x 0=4x^3-3x^2-4x+7 4x^3-3x^2-4x+7=0 solve it (cubic equation)

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