Math Help - Finding Vertical Tangent lines

1. Finding Vertical Tangent lines

I need to find the vertical tangents for this function
$2y^3+y^3-y^5=x^4-2x^3+x^2$
I got this for the derivative
$dy/dx=(4X^3-6x^2+2x)/(6y^2+2y-5y^4)$
I know to set the denominator equal to zero and from there I'm stuck

Thanks in advance!

2. Originally Posted by redsox25
I need to find the vertical tangents for this function

$2y^3+y^3-y^5=x^4-2x^3+x^2$ check the exponents on the left side, please
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3. oops sorry about that
$2y^3+y^2-y^5=x^4-2x^3+x^2$

4. other than y = 0 , the other three zeros look to be irrational when graphed w/ a calculator. unless there's some clever trick, solving by hand may be rather messy.

http://www.math.vanderbilt.edu/~schectex/courses/cubic/