It is given that for the function f(x) = x3 - 6x2 + ax + b on [1, 3], Rolle's theorem holds with c = 2+13. If f(1) = f(3) = 0, then a =_______, b =________.

It is given that for the function f(x) = x3 - 6x2 + ax + b on [1, 3],

1.	It is given that for the function f(x) = x3 - 6x2 + ax + b on [1, 3], Rolle's theorem holds with c = 2+13. If f(1) = f(3) = 0, then a =_______, b =________.
Answer» It is given that for the function f(x) = x³ - 6x² + ax + b on [1, 3], Rolle's theorem holds with c = $2 + \frac{1}{\sqrt{3}} .$ If f(1) = f(3) = 0, then a =_______, b =________.