,

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 .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Reorder and .

Add and .

Move the negative in front of the fraction.

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

Find the Quadratic Equation -1/2 , 3/4