$\"\"$

\

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 $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .