"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 7

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"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 7

Steps to solve quadratic equation of one variable using formula method

Transformation: Transform the original equation into the form x+px+q = 0.

Shift term: Move the constant term to the right side of the equation, such as x2+px =-q.

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.

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

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

2. Find the value of Δ.

3. (a) When Δ >0, substitute the root formula:

Write the roots of a quadratic equation:

x1 = ______, x2 = ______.

(b) When Δ=0, substitute the root formula:

Write the roots of a quadratic equation:

x1 = x2 = ______.

(b) When Δ<0, the equation has real roots.

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Update Time: 2024-09-03

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

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