The function is
.
Find the
-intercepts by equating
to zero.

or
.
Two
- intercepts are
and
.
So
.
From Rolles theorem, there exist at least one
in the interval
such that
.

Differentiate on each side with respect to
.

Equate it to zero.
\
Hence there exist
in the interval
.
Therefore
.
Two
-intercepts are
and
.
.