Video Tutorial: Anatomy of an Equation: Quadratic Equations 4
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Algebra >> Quadratic Functions and Equations >> Quadratic Equations and Functions

Video Tutorial: Anatomy of an Equation: Quadratic Equations 4

Video Tutorial: Anatomy of an Equation: Quadratic Equations 4

Topic

Equations

Description

The tutorial explores solving a quadratic equation in standard form with negative a and positive b and c values. The equation is ax2 + bx + c = 0. Substituting a = -6, b = 8, and c = 2 into the quadratic formula, the video explains simplification steps leading to two real roots. Key vocabulary includes quadratic equation, quadratic formula, roots, and real numbers. Simplifications in the square root and numerator emphasize the presence of two distinct solutions.

This video is directly related to the topic of Equations. It delves into the mathematical concepts underlying this topic, providing step-by-step explanations to enhance understanding. Specifically, the video illustrates how with negative a and positive b and c values. The equation is ax2 + bx + c = 0. Substituting a = -6, b = 8, and c = 2 into the quadratic formula, the video explains simplification steps leading to two real roots. Key vocabulary includes quadratic equation, quadratic formula, roots, and real numbers. Simplifications in the square root and numerator emphasize the presence of two distinct solutions.

Teacher’s Script: Today we will learn about solving equations. In this video, we will explore key methods for solving equations, such as with negative a and positive b and c values. The equation is ax2 + bx + c = 0. Substituting a = -6, b = 8, and c = 2 into the quadratic formula, the video explains simplification steps leading to two real roots. Key vocabulary includes quadratic equation, quadratic formula, roots, and real numbers. Simplifications in the square root and numerator emphasize the presence of two distinct solutions. Pay attention to how each step builds on the last to reach a solution.

For a complete collection of videos related to Equations click on this link: Anatomy of an Equation Collection.

Common Core Standards CCSS.MATH.CONTENT.6.EE.B.7, CCSS.MATH.CONTENT.8.EE.C.7, CCSS.MATH.CONTENT.HSA.REI.A.1, CCSS.MATH.CONTENT.HSA.SSE.A.1.A, CCSS.MATH.CONTENT.HSA.SSE.A.1.B
Duration 1.5 minutes
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Quadratic Equations and Functions
Copyright Year 2020
Keywords anatomy of an equation, solving quadratic equations, quadratic formula, anatomy of a quadratic equation