# Intersection between a function and it's NOT derivative

Level pending

A function, $$f(x)=(x-1)(x-3)(x-5)$$ is plotted. Then, another function, $$f'(x)+26x$$ is plotted, to find the intersection point of the two functions. Given that the x-coordinate of the only one intersection point can be written in the form of $$\sqrt[3]{a+\sqrt b} - \sqrt[3]{-a+\sqrt b} + c$$, find the last three digits of $$a+b+c$$.

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