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JoãoVitorMC
 3 years ago
translate and rotate the hyperbola 2 * x ^ 2 +6 * x * y +2 * y = 10 * (x + y +1)
JoãoVitorMC
 3 years ago
translate and rotate the hyperbola 2 * x ^ 2 +6 * x * y +2 * y = 10 * (x + y +1)

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JoãoVitorMC
 3 years ago
Best ResponseYou've already chosen the best response.0This is the Equation \[x ^{2} + 3*x*y 5*x 4*y 5 =0\]

ademm37
 3 years ago
Best ResponseYou've already chosen the best response.0hyperbola equation== \[x^{2} \div a ^{2}  y^{2} \div b ^{2} =1\]

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1for translation x = X  h y = Y  k

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1For rotation \[ x = X \cos \theta  Y \sin \theta \\ y = Y \cos \theta + X \sin \theta \]

JoãoVitorMC
 3 years ago
Best ResponseYou've already chosen the best response.0ok, but what i do first? translate or rotate?

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1do you want to reduce it to standard form?? \[ \frac {x^2}a  \frac {y^2} b = 1 \] ??

JoãoVitorMC
 3 years ago
Best ResponseYou've already chosen the best response.0that's it, but to get this form i need to translate and rotate

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1It's indeed a hyperbola i guess translation first http://www.wolframalpha.com/input/?i=plot+2+*+x+^+2+%2B6+*+x+*+y+%2B2+*+y+%3D+10+*+%28x+%2B+y+%2B1%29 then rotation

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1Let me check first ... i'm not sure i haven't done this for very long time

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1I guess rotation first ... to eliminate the homogeneous form xy http://staff.argyll.epsb.ca/jreed/math30p/conics/standard.htm

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1this is going to be long work !!! do you have some kind of software for this type of job??

JoãoVitorMC
 3 years ago
Best ResponseYou've already chosen the best response.0i use woframalpha sometimes, but i'll need to do this by hand heheh

JoãoVitorMC
 3 years ago
Best ResponseYou've already chosen the best response.0ok, i'll start rotating first

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1best of luck ... when many terms are involved, my sight get worse ...
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