Find the number of positive roots to x^6 - x^3 + 6 = 0.
Try substituting
y=x^3
and then soving for y
what do you find?
This is a TEACHING answer.
Other ANSWERERS .... please do not override it.
Can I add a hint- different way?
Yes certainly Tom,
Just try not to trivialise the answer for guest.
Most people learn nothing if they are not forced to think a little for themselves.
