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Maths Grinds
14 Nov 2020

Question of the Day By Maths Grinds

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With the help of Rolle’s Theorem and the function $f\left(x\right)=e^{-x} \left(x-a\right)\left(x-b\right)$ prove that the equation $\left(x-a\right)\left(x-b\right)=\left(x-a\right)+\left(x-b\right)$ will have a solution in the set $\left(a,b\right)$ where $a < b$.

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