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Searching for ## Quadratic Equations

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Algebra-1

You will solve quadratic equations in one variable by completing the square.

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After completing this tutorial, you will be able to complete the following:

- Determine the necessary term to complete the quadratic expression into a perfect square.
- Solve a quadratic equation with leading coefficient 1 in one variable by completing the square.
- Solve a quadratic equation with leading coefficient other than 1 in one variable by completing the square.

The quadratic formula, the formula for a circle, formula for an ellipse, or even the extreme values of a polynomial can all be found by completing the square. This technique from elementary algebra is powerful and elegant.

Approximate Time | 30 Minutes |

Pre-requisite Concepts | Students should be able to find square roots of integers and algebraic expressions; identify perfect squares, the parts of a polynomial, and quadratic polynomials; define/solve linear equations; write polynomials in standard form; and multiply polynomials. |

Course | Algebra-1 |

Type of Tutorial | Procedural Development |

Key Vocabulary | complete the square, complete the square to solve quadratic equations, perfect square |