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| PAGE: 81 | SET: Exercises | PROBLEM: 95 |
The function is 
, the indicated interval is 
and 
.
The function is 
is continuous on the closed interval 
.
Intermediate value theorem:
If is continuous on the closed interval 
, 
, and 
is any number between 
and 
, then there is at least one number in 
such that 
.
Substitute 
in .
.
Substitute 
in .
.
and 
.
between 
and 
.
.
By intermediate value theorem, there must be some 
in , such that 
.
Find the value of 
.
.
Apply zero product property.
and 
.
and 
.
is not in the interval , hence 
.
.
.
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