Math Example--Quadratics--Graphical Solutions to Quadratic Equations: Example 5
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Algebra >> Quadratic Functions and Equations >> Quadratic Equations and Functions

Math Example--Quadratics--Graphical Solutions to Quadratic Equations: Example 5

Graphical Solutions to Quadratic Equations: Example 5

Graphical Solutions to Quadratic Equations: Example 5

Topic

Quadratics

Description

This example shows a parabola that is tangent to the x-axis, indicating a single real solution. This scenario occurs when the quadratic equation has a perfect square trinomial, resulting in a discriminant of zero. The graphical approach provides an intuitive understanding of why there is only one solution. However, it may not be sufficient for finding the exact solution without algebraic methods, especially if the vertex is not at a simple coordinate.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Common Core Standards CCSS.MATH.CONTENT.HSF.IF.C.7.A, CCSS.MATH.CONTENT.HSF.LE.A.3
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Quadratic Equations and Functions
Copyright Year 2013
Keywords equation, quadratic equation, solution, root, zero