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How do I use the Mean Value Theorem to so $4 x^{5} + x^{3} + 2 x + 1 = 0$ $4x^5+x^3+2x+1=0$ has exactly one real root?

1 Answer

Aug 27, 2014

There are two components to this proof:
1. Existence of the Root
2. Uniqueness of the Root

Let us look at the existence proof first.

Let us now look at the uniqueness proof.

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