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: 2018-07-18 01:58:17 +0100
Seen: 237 times
Last updated: Jul 18 '18
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