"Factorization Method" Quadratic Equation of One Variable PPT Courseware 2

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"Factorization Method" Quadratic Equation of One Variable PPT Courseware 2

Can you fix this

Is it possible that the square of a number is equal to 3 times that number? If equal, what is this number? How did you ask for it?

Xiaoying, Xiaoming, and Xiaoliang all set this number as x. According to the meaning of the question, x²=3x

factoring method

When one side of a quadratic equation is 0 and the other side is easily decomposed into the product of two linear factors, we can solve it by factoring. This method of solving a quadratic equation by factoring you is the factoring method.

Teacher Tips:

1. The conditions for using the decomposition factor method are: the left side of the equation is easy to decompose, and the right side is equal to zero;

2. The key is to master the knowledge of factorization;

3. The theory is still "If the product of two factors is equal to zero, then at least one factor is equal to zero."

Use the factoring method to solve the equation: (1)5x2=4x;(2)x-2=x(x-2).

The steps to solve a quadratic equation of one variable by factoring are:

1. Transform the equation into a general form;

2. Factor the left side of the equation;

3. According to "at least one factor is zero", convert it into two linear equations of one variable.

4. Solve two linear equations of one variable respectively, and their roots are the roots of the original equation.

When one side of a quadratic equation is 0 and the other side is easily decomposed into the product of two linear factors, we can solve it by factoring. This method of solving a quadratic equation by factoring is called is the factoring method.

The condition of the factorization method is that the left side of the equation is easy to factor, and the right side is equal to zero. The key is to master the knowledge of factorization. The theory is still "if the product of two factors is equal to zero, then at least one factor is equal to zero."

The steps to solve a quadratic equation of one variable by factoring are:

(1) Transform the equation into a general form;

(2) Factor the left side of the equation;

(3) According to "at least one factor is zero", two linear equations of one variable are obtained.

(4) The roots of two linear equations of one variable are the roots of the original equation.

The method of factorization highlights the thinking method of transformation - "reduction", and clearly shows the process of transforming "secondary" into "primary".

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For more information about the "Factorization Method of Quadratic Equations" PPT courseware, please click the Factorization Method of Quadratic Equations ppt ppt tag.

"Factorization Method" PPT courseware for quadratic equations of one variable:

"Factorization Method" Factorization Method of Quadratic Equation PPT Courseware When one side of the quadratic equation is 0 and the other side is easily decomposed into the product of two linear factors, we can use the factorization method to solve it. This method of solving quadratic equations using factorization...

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade First Volume Mathematics industry PPT template

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