Related Topics:
Algebra
Word Problems
Common Core
(Algebra)
Common Core
for Mathematics
Example, 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.
- Complete the square.
- Solve quadratic equations, including complex solutions, using
completing the square, quadratic formula, factoring, and by
taking the square root.
- Derive the quadratic formula from completing the square.
- Recognize when one method is more efficient than the other.
- Interpret the discriminant.
- Understand the zero product property and use it to solve a
factorable quadratic equation
Common Core: HSA-REI.B.4a
Completing the Square 1
Part 1 of Showing how to the complete the square to solve quadratic
equations.
Completing the Square 2
Part 2 of Showing how to the complete the square to solve quadratic
equations.
Completing the Square 3
Part 3 of Showing how to the complete the square to solve quadratic
equations.
Completing the Square 4
Part 4 of Showing how to the complete the square to solve quadratic
equations.
Completing the Square 5
Part 5 of Showing how to the complete the square to solve quadratic
equations.
Quadratic Formula
Deriving the Quadratic Formula
This video shows the proof of the quadratic formula by solving ax
2+bx+c
by completing the square.
Completing the Square & Quadratic Formula 1
Part 1 of completing the square. This video shows how to derive the
quadratic formula by completing the square, and has a song to
remember the quadratic formula.
Completing the Square & Quadratic Formula 2
One more example of completing the square to solve a quadratic
equation, when the coefficient of x-squared is not 1. The problem is
also solved using 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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