When I solve equation using sageMath, it missed one root.
sage: solve([4/5*(x - 1)^2/x^(1/5) + 2*(x - 1)*x^(4/5)==0] ,x)
[x == (2/7), x == 1]The equation has 3 roots. It misses x==0.
What is the reason?
Because of the denominator x^(1/5), the function you are considering is not defined at x=0. You can have a look at its plot to get convinced:
sage: f = 4/5*(x - 1)^2/x^(1/5) + 2*(x - 1)*x^(4/5)
sage: f.plot(0,1)Asked: 6 years ago
Seen: 267 times
Last updated: Jul 18 '18
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.