"Fractional Equations" Fractional PPT courseware 4

Description

"Fractional Equations" Fractional PPT courseware 4

Scenario questions:

The maximum speed of a ship in still water is 20 kilometers per hour. The time it takes for it to sail 100 kilometers downstream at its maximum speed is equal to the time it takes to sail 60 kilometers upstream at its maximum speed. What is the speed of the river's water?

analyze:

Assume that the water flow speed of the river is v kilometers/hour,

The speed of a ship sailing downstream is _____ kilometers/hour,

The speed of sailing against the current is _____ kilometers/hour,

The time it takes to sail 100 kilometers downstream is ______ hours,

The time it takes to sail 60 kilometers against the current is ______ hours.

Root augmentation and root verification

In the above equation, x=-1 is not a root of the original equation, because it makes the denominator of the original fractional equation zero, and we consider it an increased root of the original equation.

The reason for increasing roots is that we multiply both sides of the equation by an integer that may make the denominator zero.

Therefore, solving fractional equations may produce increasing roots, so solving fractional equations must be checked.

1. Through the explanation of examples and exercises, can you summarize the general steps for solving fractional equations?

General steps for solving fractional equations:

Multiply both sides of the equation by the simplest common denominator to form a ________ equation; solve this ________ equation; test: substitute the roots of the ________ equation into ________. If the value ________ is the root of the original equation; if The value of ________ is to increase the roots. It should be ________.

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For more information about the PPT courseware "Fractional Equations and Fractions", please click the Fractional Equations ppt Fractions ppt tag.

"Applications of Fractional Equations" PPT courseware 3:

"Applications of Fractional Equations" PPT Courseware 3 Review Review 1. Concept of fractional equations An equation containing an unknown number in the denominator is called a fractional equation. 2. Problem-solving ideas for solving fractional equations 3. Problem-solving steps for solving fractional equations Learning objectives: 1. Be able to analyze the meaning of the problem and find equivalent quantities..

"Applications of Fractional Equations" PPT courseware 2:

"Application of Fractional Equations" PPT Courseware 2 Quote: A and B are making certain machine parts. It is known that A makes 6 more parts per hour than B. The time it takes A to make 90 parts is the same as the time it takes B to make 60 parts. If the time is equal, how many parts can A and B each make per hour? equal amount..

"Applications of Fractional Equations" PPT courseware:

Summary of the "Applications of Fractional Equations" PPT courseware: Steps and methods for solving application problems with column fraction equations: 1. Review, set up, list, solve, test, and answer 2. Find equivalent relationships Summary Summary of solving column fraction equations General steps and precautions for application questions: (1) Question review:..

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Update Time: 2024-06-30

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

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