Display Title
Definition--Quadratics Concepts--Quadratic Formula
Display Title
Quadratic Formula
Topic
Quadratics Concepts
Definition
The quadratic formula is a method for solving quadratic equations, given by
Description
The quadratic formula is a crucial tool for solving quadratic equations of the form
ax2 + bx + c = 0
It provides a straightforward method to find the roots of any quadratic equation, regardless of whether they are real or complex. The formula is derived from the process of completing the square and is applicable in various real-world scenarios, such as calculating the trajectory of objects in physics or optimizing profit in economics. In math education, the quadratic formula is essential for teaching students how to solve quadratic equations systematically and understand the nature of their solutions. It helps students develop problem-solving skills and a deeper understanding of algebraic concepts.
An example of using the quadratic formula is solving the equation
x2 + 3x + 2 = 0
which yields the roots x = − 1 and x = − 2.
For a complete collection of terms related to Quadratic Expressions, Functions, and Equations click on this link: Quadratics Collection
| Common Core Standards | CCSS.MATH.CONTENT.HSN.CN.C.7, CCSS.MATH.CONTENT.HSA.SSE.B.3.B, CCSS.MATH.CONTENT.HSA.REI.B.4.A, CCSS.MATH.CONTENT.HSF.IF.C.8.A |
|---|---|
| Grade Range | 6 - 10 |
| Curriculum Nodes |
Algebra • Quadratic Functions and Equations • Quadratic Formula |
| Copyright Year | 2013 |
| Keywords | quadratic functions, quadratic equations, quadratic formula, definitions, glossary terms |
