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

Description

"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.

Keywords: quadratic equations courseware, solving quadratic equations courseware, New People's Education Edition ninth-grade mathematics PPT courseware, ninth-grade mathematics slide courseware download, quadratic equations PPT courseware download, solving quadratic equations PPT courseware Download, .ppt format

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.

"Solving Allocation Methods for Quadratic Equations of One Variable" PPT courseware:

"Solution Method for Quadratic Equations" PPT courseware General steps for solving quadratic equations using the combination method: (1) Change the coefficient of the quadratic term of the equation into ________; (2) Move the constant term to the _______ of the equation _side; (3) Add linear term coefficient______ to both sides of the equation..

"Factorization Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Factorization Method for Solving Quadratic Equations" PPT courseware uses the factorization method to solve quadratic equations. General steps: (1) Change the right side of the equation to zero; (2) Decompose the left side of the equation into two linear equations. ________ of factors; (3) Let each factor be zero, we get..

"Formula Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Formula Method for Solving Quadratic Equations of One Variable" PPT courseware 1. For the quadratic equation ax2+bx+c=0(a0), when b2-4ac0, its root is x=________. This formula is called the ________ formula of the quadratic equation. Use the root formula to solve quadratic equations of one variable..

File Info

Update Time: 2024-06-25

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

Preview