- #1
Alpharup
- 225
- 17
In chapter 7 of Spivak calculus, it is proved that if n is odd, then the 'n'th degree polynomial equation f(x) has a root. I do understand what goes into the proof and can follow steps easily.
But, my question is
1.How did they think of a proof like that?
2.By trial and error, did they find the set of values of x where the conditions for Intermediate Value theorem are satisfied?
But, my question is
1.How did they think of a proof like that?
2.By trial and error, did they find the set of values of x where the conditions for Intermediate Value theorem are satisfied?