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**Curve Sketching....**

Curve Sketching stuck

Hi,

Stuck on curve sketching on the following.

You have part A which is finding the x-intercepts when y=0.

y = x^5 -5x

0=x^5-5x

x(x^4-5)=0

X=0 and then x^4=5??? stuck here

Then Part b is min/max when y'=0

y'=5x^4-5

5(x^4-1)=0

5=0 CANT USE then X= ROOT of 1 comes to x= - or + 1????

Then to solve for Y it s x= 1,-4 and -1,4 ???

Part C is pts of inflection y''=0

So it's y"=20x^3

Don't know what to do here

Can some one direct me in the right direction, thanks

Joanne