Semi-major axis equation question

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Homework Help Overview

The discussion revolves around rearranging an equation related to the semi-major axis in a mathematical context. Participants are exploring the steps needed to isolate the variable "a" from the equation.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the process of squaring both sides of the equation to eliminate a square root. There are attempts to clarify the correct notation and algebraic manipulation needed to isolate "a". Questions about the participant's mathematical background and confidence are raised.

Discussion Status

Guidance has been offered regarding the algebraic steps necessary to rearrange the equation. Participants are actively engaging with each other's attempts and providing feedback, though there is no explicit consensus on a final solution.

Contextual Notes

One participant notes their lack of recent mathematical training, which may influence their understanding and approach to the problem. There is an emphasis on reviewing algebraic concepts throughout the discussion.

eXmag
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Homework Statement



Hi there, this isn't a homework question but I need some help with this equation since I'm not the best at mathematics. I would like to rearrange this equation so I can solve for "a"

Homework Equations



9k6xk0.gif


The Attempt at a Solution



?
 
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eXmag said:

Homework Statement



Hi there, this isn't a homework question but I need some help with this equation since I'm not the best at mathematics. I would like to rearrange this equation so I can solve for "a"

Homework Equations



9k6xk0.gif


The Attempt at a Solution



?

Well, start by squaring both sides. That will get rid of the square root. How bad at mathematics are you?
 
Im really bad at it!
 
eXmag said:
Im really bad at it!

Good to know. What happens if you try squaring both sides? Do your worst.
 
so you're saying

f9nsit.gif
 
eXmag said:
so you're saying

f9nsit.gif

That's pretty bad. You forgot to square the ##2 \pi##. And if you square a square root then you eliminate the square root. ##(\sqrt{x})^2=x##. Try and fix it up a little.
 
Ok then, another attempt.

2w4cwf8.gif
 
eXmag said:
Ok then, another attempt.

2w4cwf8.gif

Closer. Just write ##(2 \pi)^2## instead of ##2 \pi^2##. They mean different things don't they? I hope you know that much? The next step is to move everything except for ##a^3## to the left side of the equation. Know ANY algebra?
 
Well considering I haven't taken a math course since high school which was about 8 years ago so I'm a little rusty as you can tell. But it's starting to come back to me somewhat. So should this be the final solution then?

2lsblw4.jpg


edit it should be (2pi)squared like u said
 
  • #10
eXmag said:
Well considering I haven't taken a math course since high school which was about 8 years ago so I'm a little rusty as you can tell. But it's starting to come back to me somewhat. So should this be the final solution then?

2lsblw4.jpg


edit it should be (2pi)squared like u said

Yes, that's right. Glad you got it if you write (2pi)^2. I didn't think you were going to make it for a while. Keep reviewing the algebra. It's not that hard and you need to know it.
 
  • #11
OK, thanks for you're help!
 
  • #12
eXmag said:
OK, thanks for you're help!

You're welcome. Um, it's 'your help' not 'you're help' if you want to do grammar too. :)
 

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