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Mathematics 24 Online
OpenStudy (anonymous):

someone please help with this algebra!

OpenStudy (anonymous):

i have to solve for x 8/(x^2-1) + 4x/(x-1) + 8/(x+1) = 0

OpenStudy (dumbcow):

combine fractions by finding common denominator can you factor x^2 -1 ?

OpenStudy (anonymous):

(x+1)(x-1)

OpenStudy (dumbcow):

good and the other 2 denominators are factors of that right

OpenStudy (anonymous):

yeah but i get lsot after that

OpenStudy (dumbcow):

ok so our denominator will be (x+1)(x-1) for the 1st fraction nothing changed, 2nd fraction we added (x+1) so add (x+1) to numerator, 3rd fraction we added (x-1) so add (x-1) to numerator

OpenStudy (anonymous):

so 8 +4x(x+1)+8(x-1)=0

OpenStudy (dumbcow):

yes but that is all over (x-1)(x+1)

OpenStudy (anonymous):

ohhh i forgot that step

OpenStudy (anonymous):

8+4x+8=0

OpenStudy (anonymous):

4x=16 so therefore x=4??

OpenStudy (dumbcow):

now here is shortcut, because it equals 0 the denominator doesnt matter 0/x = 0 so set numerator equal to 0 and solve for x

OpenStudy (anonymous):

did u get 4?

OpenStudy (dumbcow):

you cant cancel the (x+1) and (x-1) because there is addition on numerator

OpenStudy (anonymous):

i have 4x^2 +12x=0

OpenStudy (anonymous):

and now im lost again

OpenStudy (dumbcow):

good so far try factoring out an x

OpenStudy (dumbcow):

i mean take an x away from each term then you will have a product =0 solve for each part setting it equal to 0 you will have 2 answers

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