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.
The Quadratic Formula
Use the Quadratic Formula to solve quadratic equations.
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.
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