"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 8

Description

"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 8

1. How many methods have we learned to solve quadratic equations of one variable?

Direct square root method x²=a (a≥0)

Allocation method (x+m)²=n (n≥0)

2.What is decomposition factor?

The decomposition of a polynomial into the product of several integers is called factorization.

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+(a+b)x+ab=(x+a)(x+b).

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

1. Set the right side of the equation equal to 0;

2. Factor the left-hand side of the equation into A×B;

3. According to "ab=0, then a=0 or b=0", convert it into two linear equations of one variable.

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

my discovery

Generally, when the coefficient of the linear term of a quadratic equation is 0 (ax2+c=0), the direct square root method should be used;

If the constant term is 0 (ax2+bx=0), the factoring method should be used;

If both the linear term coefficient and the constant term are not 0 (ax2+bx+c=0), first convert it into a general formula and see if the integer on one side is easy to factor. If it is easy, you should use the factoring method, otherwise use the formula Law;

However, when the coefficient of the quadratic term is 1 and the coefficient of the linear term is an even number, it is simpler to use the matching method.

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: 2024-09-03

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

Preview