"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 9

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"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 9

What are the methods of factoring?

(1) Extract common factor method:

am+bm+cm=m(a+b+c).

(2) Formula method:

a²-b²=(a+b)(a-b), a²+2ab+b²=(a+b)².

(3) Cross multiplication method:

x²+(p+q)x+pq=(x+p)(x+q).

According to the laws of physics, if an object is thrown vertically from the ground at a speed of 10m/s seconds, then the height of the object from the ground (unit: meters) after How many seconds does it take to fall back to the ground? (Accurate to 0.01S)

10X-4.9X2=0 ①

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 is called is the factoring method.

1. The conditions for solving quadratic equations of one variable using the factorization method are:

The left side of the equation is easy to decompose, while the right side is equal to zero;

2. The theoretical basis is that 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", 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.

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For more information about the PPT courseware "Quadratic Equations of One Variable and Solving Quadratic Equations of One Variable", please click the "Quadratic Equations of One Variable Equation ppt Solution of Quadratic Equations of One Variable" ppt tag.

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Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

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