$\"\"$

\

The equation is $\"\"$ .

\

Compare the equation with $\"\"$ .

\

a = 1, b = $\"\"$ and c = 4. $\"\"$

\

a) Now we can find discriminant value

\

$\"\"$ (Substitute a = 1, b = $\"\"$ and c = 4)

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

b) The discriminant is positive, so the equation have two rational roots.

\

c) Apply quadratic formula: $\"\"$

\

$\"\"$ (Replace $\"\"$ , a with 1, and b with $\"\"$ )

\

Product of two same sings is positive.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The solutions are $\"\"$ . $\"\"$

\

The discriminant value is 240 and the equation have two irrational roots.

\

The solutions are $\"\"$ .