"Using the formula method to solve quadratic equations of one variable" PPT courseware for quadratic equations of one variable

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"Using the formula method to solve quadratic equations of one variable" PPT courseware for quadratic equations of one variable

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1. Use the combination method to solve the following equation 2x²-12x+10=0

2. What are the steps to solve quadratic equations of one variable using formulas?

1. Transform to 1: Change the coefficient of the quadratic term to 1 (divide both sides of the equation by the coefficient of the quadratic term);

2. Move the term: Move the constant term to the right side of the equation;

3. Recipe: Add half the square of the absolute value of the coefficient of the linear term to both sides of the equation;

4. Deformation: factorize the left side of the equation and combine similar factors on the right side;

5. Square root: According to the meaning of square root, the square root of both sides of the equation;

6. Solve: Solve linear equations of one variable;

7. Definite solution: Write the solution of the original equation.

1. What are the steps to solve quadratic equations of one variable using formulas?

Shifting terms: Move the constant term to the right side of the equation;

Recipe: Add half the square of the coefficient of the linear term to both sides of the equation;

Square root: According to the meaning of square root, the square root of both sides of the equation;

Solution: Solve linear equations of one variable;

Definite solution: Write the solution to the original equation.

2. Use the combination method to solve quadratic equations of one variable:

(1)2x²+4x+1=0 (2)3x²-12x+1/3=0

General steps for solving quadratic equations of one variable using the formula method:

(1) Convert the equation into a general form and write the values ​​of a, b, and c.

(2) Find the value of b²-4ac.

(3) Substitute the root formula: x=-b±√b²-4ac/2a

(4) Write the solution to the equation: x1=? ,x2=?

Thought questions:

1. The quadratic equation ax²+bx+c=0 about x (a≠0). When a, b, c satisfy what conditions, the two roots of the equation are opposite to each other?

2. When m takes what value, the equation x²+(2m+1)x+m²-4=0 has two equal real number solutions.

Use the combination method to solve the quadratic equation of one variable 2x²+4x+1=0

Steps to solve quadratic equations of one variable using the formula method:

1. Convert the original equation into the form x²+px+q=0.

2. Move items to sort out x²+px=-q

3． Add half the square of the linear coefficient p to both sides of the equation x²+px= -q.

Thought questions:

1. The quadratic equation of x with respect to x is ax²+bx+c=0 (a≠0). When a, b, c satisfy what conditions, the two roots of the equation are opposite to each other?

2. When m takes any value, the equation x²+(2m+1)x+m²-4=0 has two equal real number solutions.

The formula method will be born from here

Can you solve the equation 2x²-9x+8=0 using the calculus method?

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

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

"Solving quadratic equations of one variable using formula method" PPT courseware 2 1. Use formula method to solve the following equation 2x-12x+5=0 2. What are the steps to use formula method to solve quadratic equation of one variable? 1. If the coefficient of the quadratic term is not 1, change the coefficient of the quadratic term to 1 (divide both sides of the equation by the quadratic term...

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

"Using the formula method to solve quadratic equations of one variable" PPT courseware formula method is produced like this. Can you use the formula method to solve the equation ax+bx+c=0(a0)? 1. Transform 1: Change the coefficient of the quadratic term to 1 ; 2. Transposition: Move the constant term to the right side of the equation; 3. Formula: Add once to both sides of the equation.

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Update Time: 2024-11-22

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

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