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Mathematics
General Math
Is this condition for infinite roots wrong?
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[QUOTE="micromass, post: 5492355, member: 205308"] This looks strange but it is kind of correct. It seems the author absolutely butchered the method though. I think what the author likes to do is to compute infinite point and asymptotes in projective geometry using homogeneous coordinates. That uses a method kind of similar to what is in the OP, but the exact explanation of the book is very doubtful. Something of the following would be correct though: consider ##y = \frac{x+2}{3x + 2}##. Then we have $$3xy + 2y - x - 2 = 0$$ which gives rise to a homogeneous equation $$3xy + 2yz - xz - 2z^2=0.$$ The points at infinity correspond to ##z=0##, which yields ##x=0## or ##y=0##. This gives us a result that the function has two asymptotes: one parallel to ##x=0## and one parallel to ##y=0## which is indeed correct. [/QUOTE]
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Mathematics
General Math
Is this condition for infinite roots wrong?
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