Solve the given quadratic equations by factoring. x^2-4=0 |...

Name: Problem 9, Chapter 7: Basic Technical Mathematics with Calculus
Uploaded: 2020-04-22T22:24:15-08:00
Duration: 49 s
Channel: Cory Kuzinski
Description: Solve the given quadratic equations by factoring. x^2-4=0

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Key Concepts

Quadratic Equations

Quadratic equations are polynomial equations of degree 2, typically written in the form ax^2 + bx + c = 0, where a, b, and c are constants. Solving these equations involves finding the values of the variable that satisfy the equation.

Factoring

Factoring is a method used to solve quadratic equations by expressing the quadratic expression as a product of simpler expressions. This approach transforms the equation into a form where the zero product property can be applied to find the solutions.

Difference of Squares

The difference of squares is a specific factoring pattern where an expression of the form a^2 - b^2 can be rewritten as (a - b)(a + b). Recognizing this structure in a quadratic equation allows for straightforward factoring and solution finding.

Zero Product Property

The zero product property states that if the product of two or more factors equals zero, then at least one of the factors must be zero. After factoring a quadratic equation, setting each factor equal to zero and solving gives the solutions to the equation.

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