,

and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by .

Combine and .

Move to the left of .

Combine and .

Multiply .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Add and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

The standard quadratic equation using the given set of solutions is .

Find the Quadratic Equation -1/6 , 5/6