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

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

1. For the quadratic equation ax2+bx+c=0 (a≠0), when b2-4ac≥0, its root is x=________. This formula is called the ________ formula of the quadratic equation. The method of solving quadratic equations of one variable using the root formula is called _________.

2. The relationship between the real root case of the quadratic equation ax2+bx+c=0 (a≠0) and the sign of the value of b2-4ac:

(1) When b2-4ac>0, the equation has two real roots of ________;

(2) When b2-4ac=0, the equation has two real roots of ________;

(3) When b2-4ac<0, the equation ________ has real roots.

1. (6 points) In the quadratic equation of one variable x2-3x-4=0, a=________, b=________, c=________, b2-4ac=________. Using the root formula, we can get x1=________, x2=________.

2. (4 points) When solving the equation 3x²-2√3x=1-√3x using the formula method,

Among them, a = ________, b = ________, c = ________, b2-4ac = ________.

3. (4 points) Use the formula method to solve the equation (2x-1)2+4=(x+2)2-4. First organize it into _______________, and its root is _________.

17． (10 points) It is known that the quadratic equation x2-4x+m-1=0 about x has two equal real roots. Find the value of m and the roots of the equation.

m=5, x1=x2=2

18. (10 points) A rectangular chicken farm with an area of ​​150 m2 is to be built. In order to save materials, one side of the chicken farm is against an original wall with a length of 150 m, and the other three sides are surrounded by bamboo fences. If the fence The length is 35 m. What are the length and width of the chicken farm?

Assume that the width of the chicken farm perpendicular to the wall is x m. According to the question, x(35-2x)=150,

The solution is x1=7.5, x2=10. When x=7.5, the length and width of the chicken farm are 20 m and 7.5 m respectively.

When x=10, the length and width of the chicken farm are 15 m and 10 m respectively.

Keywords: teaching courseware for formula method of solving quadratic equations, download the mathematics PPT courseware for the first volume of the ninth grade of Hebei Education Edition, download the mathematics slide courseware for ninth grade, download PPT courseware for formula method for solving quadratic equations, .PPT format;

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Update Time: 2024-07-01

This template belongs to Mathematics courseware Hebei Education Edition Ninth Grade Mathematics Volume 1 industry PPT template

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