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Mathematics 19 Online
OpenStudy (anonymous):

Solve 3/x-3+1=4/(x^2-9) Show work please

OpenStudy (anonymous):

saifoo i need you bro when u get a sec

OpenStudy (saifoo.khan):

Sure. =D

OpenStudy (anonymous):

Hi there nbw. Well as a first step I would multiply through both sides by (x^2-9). what do you get?

OpenStudy (anonymous):

wait do you change the bottom denominator to (x^2-9) too

OpenStudy (anonymous):

If you multiply both sides by (x^2-9) then the (x^2-9) on the right cancels with the one already there. So you end up with plain old "4" on the right side, and on the left (x^2-9) cross multiplied with the expression that's on the left of the original equation. (First simplify the -3 and +1 terms to a plain old -2)

OpenStudy (anonymous):

could you draw it please im getting confused

OpenStudy (anonymous):

well first combine the -3 and +1 on the left, what does the equation look like after that?

OpenStudy (anonymous):

its positive 3 not -3

OpenStudy (anonymous):

you wrote -3 at the top, you're saying that was wrong? in any case combine the constant terms on the left, what do you get as the new equation?

OpenStudy (anonymous):

ok i got the answer now thanks

OpenStudy (anonymous):

btw the answers are 1, and -4

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