How do you understand the operations of equations and their solutions?

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Homework Help Overview

The discussion revolves around understanding operations in equations, particularly focusing on the manipulation of terms and the process of integration. Participants are exploring how to transition between different forms of an equation and the reasoning behind these steps.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the steps involved in manipulating equations, specifically how one operation leads to another. Questions are raised about the integration process and the multiplication of terms, particularly the transition from x^-4 to x^4.

Discussion Status

Some participants are providing insights into the operations being discussed, such as the multiplication of both sides of the equation. There is an ongoing exchange of clarifications, with some participants expressing understanding while others seek further explanation.

Contextual Notes

There appears to be some confusion regarding the foundational concepts of equation manipulation, and participants are referencing a specific step in a larger problem without providing the complete context of the original equation.

myusernameis
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hahaha uhhhh operations of e

Homework Statement


i'm reading this online math help thing, and i can't seem to memorize how/why this is

Homework Equations


eq0017L.gif

how did they get this?edit* how did they get the answer from the left to the right side of the arrow?

The Attempt at a Solution


i know this is prob. the beginner stuff, but i forgot this from a long time ago. and don't worry, this is only one step of the equation, not the whole answer.

Thanks!
 

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Is there a specific step(s) that you don't understand? All they are really doing is integrating both sides of the equation with respect to x and then isolating v(x) after.
 


They multiplied both sides by [tex]x^4[/tex]
 


gabbagabbahey said:
Is there a specific step(s) that you don't understand? All they are really doing is integrating both sides of the equation with respect to x and then isolating v(x) after.

yeah, i got the integrating part, but how come in the next step, it went from x^-4 to x^4?


thanks!
 


I just told you, they multiplied both sides by x^4 ... and x^(-4) * x^4 = 1
 


NoMoreExams said:
I just told you, they multiplied both sides by x^4 ... and x^(-4) * x^4 = 1

oh haha yeah, thanks!


I was talking to "gabbagabbahey" in my last response though..
 

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