Question

Prove that the roots of the equation $xlogx-2+x$ lies in $(1,2)$

Answer 1

$f\left(x\right)=xlogx-2+xf\left(1\right)=0-2+1=-1=-vef\left(2\right)=2log2-2+2=2log2=+ve$

Root of the equation lie in $(1,2)$