$\"\"$

\

The equation is $\"\"$ .

\

$\"\"$ (Original equation)

\

The standard form equation is $\"\"$ .

\

Compare the above two equations $\"\"$ and $\"\"$ .

\

a.

\

Find the discriminant value.

\

$\"\"$ (Formula for discriminant)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Multiply)

\

$\"\"$ (Evaluate powers: $\"\"$ )

\

$\"\"$ (Add: $\"\"$ )

\

$\"\"$ .

\

$\"\"$

\

b.

\

Find the number of roots.

\

Since $\"\"$ and it is not a perfect square ,then it has two real, irrational roots.

\

$\"\"$

\

c.

\

Find the roots.

\

$\"\"$ (Formula for quadratic equation)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Multiply)

\

$\"\"$ (Substitute : $\"\"$ )

\

$\"\"$ or $\"\"$ (Write as two equation)

\

$\"\"$ or $\"\"$ (Subtract)

\

$\"\"$ or $\"\"$ (Simplify)

\

Therefore, the solutions are $\"\"$ and $\"\"$ .

\

$\"\"$

\

a. $\"\"$ .

\

b. $\"\"$ it is not a perfect square ,then it has two real, irrational roots.

\

c. The two real solutions are $\"\"$ and $\"\"$ .