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.

### Suggested Learning Targets

• 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

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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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.