"Solving quadratic equations of one variable using factoring method" PPT courseware

Description

"Solving quadratic equations of one variable using factoring method" PPT courseware

Review introduction:

1. What are the solutions to quadratic equations of one variable that you have learned?

2. Please use the method you have learned to solve the equation x²-4=0

Steps to Solve Quadratic Equations of One Variable by Factoring

1The right-hand side of the equation becomes ______.

2 Factor the left side of the equation into the product of two ______.

3At least the ______ factor is zero, and two linear equations of one variable are obtained.

4The two ____________ are the solutions to the original equation.

Demonstration of problem solving steps

Example (x+3)(x－1)=5

Solution: The original equation can be transformed into x2+2x-8 =0

The right side of the equation equals zero

The left-hand side decomposes into the product of two linear factors

If at least one linear factor is zero, we get two linear equations of one variable.

The solution of two linear equations of one variable is the solution of the original equation

Solve the following equation using factoring:

①(x－5)(x+2)=18

②(2a-3)2=(a-2)(3a-4)

③√2y2=3y

④x2+7x+12=0

⑤t(t+3)=28

⑥(4x－3)2=(x+3)2

Summary:

1. Steps to solve quadratic equations of one variable using factorization method:

1) The right-hand side of the equation becomes _____.

2) Decompose the left side of the equation into the product of two _____.

3) At least the _____ factor is zero, and two linear equations of one variable are obtained.

4) The two __________ are the solutions to the original equation

2. Method of solving quadratic equation of one variable:

Direct square root method, combination method, formula method, factorization method

1. What kind of quadratic equation of one variable can be solved by factoring?

2. What is the key to solving a quadratic equation using factorization?

3. What is the theoretical basis for using factorization method to solve quadratic equations of one variable?

4. To solve a two-variable equation using factorization, does it have to be converted into a general form first?

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For more information about the PPT courseware "Using Factorization Method to Solve Quadratic Equations of One Dimension", please click the "Using Factorization Method to Solve Quadratic Equations of One Dimension" ppt tag.

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"Solving quadratic equations of one variable using factoring method" PPT courseware 2:

"Using Factorization Method to Solve Quadratic Equations" PPT Courseware 2 Review Introduction: 1. What are the methods for solving quadratic equations that have been learned? 2. Please use the method you have learned to solve the equation x-4=0 x2-4=0 Solution: The original equation can be transformed into (x+2)(x-2)=0 AB=0 A=0 or B..

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Update Time: 2024-11-18

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 1 industry PPT template

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