anonymous
  • anonymous
How do I get from 2a+a+sqrt(3a^2)=20 to.... a=8.453?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
How did you arrive at that answer?
anonymous
  • anonymous
wolframalpha.com
anonymous
  • anonymous
are you sure you plugged it in correctly?

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anonymous
  • anonymous
I entered the equation exactly how it here.
anonymous
  • anonymous
Then you must've typed it here wrong. That is not the correct answer.
anonymous
  • anonymous
Double check
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=2a%2Ba%2B+sqrt%283a%5E2%29%3D20 are you able to see this, my friend?
anonymous
  • anonymous
\[2a+a+\sqrt(3a^2)=20\]
anonymous
  • anonymous
Yes, that correct.
anonymous
  • anonymous
It doesn't say the answer is 8.453
anonymous
  • anonymous
It does, in the solution: a=-10/3(sqrt(3)-3).
anonymous
  • anonymous
That comes out to approximately 4.2265
anonymous
  • anonymous
Not 8.453
anonymous
  • anonymous
You're right I made a mistake, my answer is two times 4.2265.
anonymous
  • anonymous
OK i will show you how to do the work correctly.
anonymous
  • anonymous
I am still wondering how I get there though.
anonymous
  • anonymous
\[3a+\sqrt(3a^2)=20\] \[a(3+\sqrt(3))=20\] \[a=\frac{20}{(3+\sqrt(3))}\]
anonymous
  • anonymous
From here we rationalize the denominator
anonymous
  • anonymous
I am confused in the second step.
anonymous
  • anonymous
\[\frac{20}{3+\sqrt(3)} * \frac{3-\sqrt(3)}{3-\sqrt(3)}\]
anonymous
  • anonymous
In the second step i simply factored out an a because \[\sqrt(a^2)=a\]
anonymous
  • anonymous
so it would be \[3a+a \sqrt(3)\]
anonymous
  • anonymous
Then you can factor out an a here, see?
anonymous
  • anonymous
okay, i see now thank you very much !
anonymous
  • anonymous
Do you know how to rationalize the denominator?
anonymous
  • anonymous
You must do that to get to the final answer
anonymous
  • anonymous
I do, i need to try it to make sure i get the mechanics of it.
anonymous
  • anonymous
The numberator should be 60-20sqrt(3), correct? And I am having difficulties with the denominator? Could you help please?
anonymous
  • anonymous
Nevermind, I figured it out, thank you.

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