Using Rolles theorem, prove that there i...

Using Rolles theorem, prove that there is at least one root in `(45^(1/(100)),46)` of the equation. `P(x)=51 x^(101)-2323(x)^(100)-45 x+1035=0.`

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The correct Answer is:

`g(46)=(46)^(102)/2-23(46)^101-45/2(46)^(2)+1035(46)+c=c`
g(x) =p(x) will have atleast one root in given interval.

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