Value Theorem Exercises

1.1, prove the equation X ^{. 5} + + X = 0. 1 only one positive root.

1.1.1 through zero theorem, the existence of

1.1.2, by contradiction, assuming there are two positive root, then there is at least one point by Rolle theorem f ^' (X0) = 0, X0 belongs (x1, x2), but conflicts with the original equation, thereby demonstrating uniqueness.