Completing the Square
Definition
Rearranging a quadratic equation to express it in a perfect square form by adding or subtracting a constant term. This allows for easier factoring or solving for the roots of the equation.
Analogy
Completing the square is like rearranging your room to make it more organized and efficient. By moving furniture around and adding or subtracting items, you create a space that is easier to navigate and work with.
Related terms
Quadratic Equation: An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants.
Vertex Form: A way of expressing a quadratic equation as y = a(x - h)^2 + k, where (h,k) represents the coordinates of the vertex.
Discriminant: The expression b^2 - 4ac found in the quadratic formula that determines the nature of the solutions (real, imaginary, or repeated) of a quadratic equation.
"Completing the Square" appears in:
Additional resources (1)
Are you a college student?
Study guides for the entire semester
200k practice questions
Glossary of 50k key terms - memorize important vocab
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.