,

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.

Combine the opposite terms in .

Reorder the factors in the terms and .

Subtract from .

Add and .

Simplify each term.

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

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

Find the Quadratic Equation x=2i , x=-2i