Videos and lessons to help High School students learn how to use
the method of completing the square to transform any quadratic
equation in *x* into an equation of the form (*x*?*p*)^{2}*
= q* that has the same solutions. Derive the quadratic
formula from this form.

- Transform a quadratic equation written in standard form to an
equation in vertex form (
*x*?*p*)^{2}*= q*by completing the square. - Derive the quadratic formula by completing the square on the standard form of a quadratic equation.

Common Core: HSA-REI.B.4b

Related Topics:

Algebra
Word Problems

Common Core
(Algebra)

Common Core
for Mathematics

The Quadratic Formula

Use the Quadratic Formula to solve quadratic equations.

Verify the solutions to a quadratic equation graphically when possible.

Ex: Quadratic Formula - Two Real Rational Solutions

This video provides an example of how to solve a quadratic equation with two real rational solutions using the quadratic formula.

Ex1: Quadratic Formula - Two Real Irrational Solutions

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.

Ex2: Quadratic Formula - Two Real Irrational Solutions

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.

Ex: Quadratic Formula - Complex Solutions

This video provides an example of how to solve a quadratic equation with complex solutions using the quadratic formula.

Complex Roots from the Quadratic Formula

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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