$\"\"$

The function is $\"\"$ .

The roots of the function is $\"\"$ .

$\"\"$ .

Evaluate $\"\"$ for $\"\"$ and $\"\"$ .

Subustiute $\"\"$ in the equation $\"\"$ .

$\"\"$ .

$\"\"$

For $\"\"$ , the function yields negative value.

$\"\"$

Subustiute $\"\"$ in the equation $\"\"$ .

$\"\"$ .

$\"\"$

For $\"\"$ , the function yields positive value.

As the function changes its sign from negative to positive between $\"\"$ and $\"\"$ , the function has atleast one root between $\"\"$ and $\"\"$ .

The function $\"\"$ has a root between $\"\"$ and $\"\"$ .

$\"\"$

The function $\"\"$ has a root between $\"\"$ and $\"\"$ .