Common Core: HSA-REI.B.4b

Related Topics:
Algebra Word Problems
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, 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.

Verify the solutions to a quadratic equation graphically when possible.
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.

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.
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. 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

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