Does the equation have a real solution...please help! [duplicate]
Solution 1:
Hint: Apply Rolle's theorem to the function $$f(x) = \frac{c_{n}}{n+1} x^{n+1} + \frac{c_{n-1}}{n} \cdot x^{n} + \cdots + c_{0}\cdot x$$
Hint: Apply Rolle's theorem to the function $$f(x) = \frac{c_{n}}{n+1} x^{n+1} + \frac{c_{n-1}}{n} \cdot x^{n} + \cdots + c_{0}\cdot x$$