Semi-major axis equation question

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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:
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
 
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.
 
OK, thanks for you're help!