italy-esame-di-stato 2023 Q8

italy-esame-di-stato · Other · esame-di-stato__matematica Stationary points and optimisation Count or characterize roots using extremum values
Given the function $f_{a}(x) = x^{5} - 5ax + a$, defined on the set of real numbers, determine for which values of the parameter $a > 0$ the function has three distinct real zeros.
Given the function $f_{a}(x) = x^{5} - 5ax + a$, defined on the set of real numbers, determine for which values of the parameter $a > 0$ the function has three distinct real zeros.