Find all asymptotes of given curve y 2 ( a + x ) = x 2 ( a − x )origin i found will be a nodei'm trying to find asymptotes by equating highest degree term to 0Please help.

Question

Find all asymptotes of given curve      y    2    (  a  +  x  )  =      x    2    (  a  −  x  )origin i found will be a nodei&#039;m trying to find asymptotes by equating highest degree term to 0Please help.

Vartavk · Accepted Answer

write   y  (  x  )  =  m  x  +  b and then rearrange equation in the form       ∑    0    n        a    n        x    n    =  0, where n is the highest degree term you get once you rearrange equation. Now you set       a    n   and       a          n      −      1       to 0 and for each pair {m,b} found you get an asymptote. in your case if i didn&#039;t make any mistakes you should find only one asymptote at x=−a

Find all asymptotes of given curve y^2(a+x)=x^2(a−x) origin i found will be a node i'm trying to find asymptotes by equating highest degree term to 0 Please help.

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