anonymous
  • anonymous
The equation of a hyperbola is given by: 25x^2-16y^2+100x+96y=144 Rewrite the equation in standard form
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
ok.. it's complete the square time.. |dw:1337817367153:dw|
anonymous
  • anonymous
do you what you need in that first parenthesis to make it into a perfect square trinomial?
anonymous
  • anonymous
Yes, I do. It would be 4 in the first parenthesis and 9 in the second, correct? I am confused on what to do after that because the number on the other side of the equal sign is actually 444

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anonymous
  • anonymous
yes... you're correct
anonymous
  • anonymous
whatever you do to one side, you do to the other.... |dw:1337817614794:dw|
anonymous
  • anonymous
Yes, and then I get 400 on the right side and I'm unsure how to apply that to the other side.
anonymous
  • anonymous
|dw:1337817875892:dw|
anonymous
  • anonymous
|dw:1337817783416:dw|
anonymous
  • anonymous
|dw:1337817942410:dw|
anonymous
  • anonymous
oh... you're way ahead of me... :)
anonymous
  • anonymous
Is that right though? Is there anyway I can check the process because sometimes I keep going and it turns out wrong?
anonymous
  • anonymous
shouldn't the right side be 100?
anonymous
  • anonymous
|dw:1337818132008:dw|
anonymous
  • anonymous
144 is actually 444. I typed it in wrong originally and then explained it after
anonymous
  • anonymous
ooh ok, so the right side is 400..
anonymous
  • anonymous
the process is correct... if there are no calculation errors, the equation is correct.
anonymous
  • anonymous
the equation you ended up with...
anonymous
  • anonymous
|dw:1337818278093:dw|
anonymous
  • anonymous
yes.. do you know where the center is?
anonymous
  • anonymous
It would be (-2, -3) right? And its horizontal? How can I tell..I'm confused on when its different? Is a just always bigger?
anonymous
  • anonymous
wait...
anonymous
  • anonymous
this should be negative.... right? |dw:1337818435775:dw|
anonymous
  • anonymous
Yes. Darn it. I should have seen that. Thank you
anonymous
  • anonymous
here's your verification : center is at (-2, 3) http://www.wolframalpha.com/input/?i=center+25x%5E2-16y%5E2%2B100x%2B96y%3D144
anonymous
  • anonymous
Thank you! That's perfect! The equation is horizontal right?
anonymous
  • anonymous
equation?
anonymous
  • anonymous
oh... yes.. this is a horizontal or left/right branch hyperbola...
anonymous
  • anonymous
good work...
anonymous
  • anonymous
And so a would be 4? Because in standard form it is 16 which is a^2?
anonymous
  • anonymous
yes... a=4 b= c=
anonymous
  • anonymous
b=5 and c= the square root of 41?

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