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ERoseM
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The equation of a hyperbola is given by: 25x^216y^2+100x+96y=144
Rewrite the equation in standard form
 2 years ago
 2 years ago
ERoseM Group Title
The equation of a hyperbola is given by: 25x^216y^2+100x+96y=144 Rewrite the equation in standard form
 2 years ago
 2 years ago

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dpaInc Group TitleBest ResponseYou've already chosen the best response.1
ok.. it's complete the square time.. dw:1337817367153:dw
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
do you what you need in that first parenthesis to make it into a perfect square trinomial?
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
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
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
yes... you're correct
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
whatever you do to one side, you do to the other.... dw:1337817614794:dw
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
Yes, and then I get 400 on the right side and I'm unsure how to apply that to the other side.
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
dw:1337817875892:dw
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
dw:1337817783416:dw
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
dw:1337817942410:dw
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
oh... you're way ahead of me... :)
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
Is that right though? Is there anyway I can check the process because sometimes I keep going and it turns out wrong?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
shouldn't the right side be 100?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
dw:1337818132008:dw
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
144 is actually 444. I typed it in wrong originally and then explained it after
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
ooh ok, so the right side is 400..
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
the process is correct... if there are no calculation errors, the equation is correct.
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
the equation you ended up with...
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
dw:1337818278093:dw
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
yes.. do you know where the center is?
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
this should be negative.... right? dw:1337818435775:dw
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
Yes. Darn it. I should have seen that. Thank you
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
here's your verification : center is at (2, 3) http://www.wolframalpha.com/input/?i=center+25x%5E216y%5E2%2B100x%2B96y%3D144
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
Thank you! That's perfect! The equation is horizontal right?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
oh... yes.. this is a horizontal or left/right branch hyperbola...
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
good work...
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
And so a would be 4? Because in standard form it is 16 which is a^2?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.1
yes... a=4 b= c=
 2 years ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.1
b=5 and c= the square root of 41?
 2 years ago
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