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

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

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

ERoseM
 3 years ago
Best ResponseYou've already chosen the best response.1Yes, 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

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

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

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

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

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

ERoseM
 3 years ago
Best ResponseYou've already chosen the best response.1144 is actually 444. I typed it in wrong originally and then explained it after

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

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

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1the equation you ended up with...

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

ERoseM
 3 years ago
Best ResponseYou've already chosen the best response.1It would be (2, 3) right? And its horizontal? How can I tell..I'm confused on when its different? Is a just always bigger?

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

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

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

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

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

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

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