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.

Jadon Melendez 2022-07-23 Answered
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 0Please help.
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Answers (1)

Vartavk
Answered 2022-07-24 Author has 11 answers
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't make any mistakes you should find only one asymptote at x=−a
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