Pls help with this question.

A hyperbola with equation y^2 + Ay +Bx^2 + Cx + D = 0, where A,B, C and D are real constants, passes through the point (5/3, 17) and has a maximum point ( -1, 1 ). Find A, B and C.

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- January 15th 2012, 01:55 AMbluejumperSolving unknown values.
Pls help with this question.

A hyperbola with equation y^2 + Ay +Bx^2 + Cx + D = 0, where A,B, C and D are real constants, passes through the point (5/3, 17) and has a maximum point ( -1, 1 ). Find A, B and C. - January 15th 2012, 03:04 AMQuackyRe: Solving unknown values.
What have you tried? Where are you stuck?

You can substitute the given points into the equation, which gives you two equations for the four unknowns, but as D can be eliminated, I would probably then just differentiate and substitute in the maximum point's coordinates to get the third equation.

Please show your work because this is a lengthy question and it would be beneficial for everyone involved if we could pinpoint the exact difficulty. - January 15th 2012, 04:59 AMbluejumperRe: Solving unknown values.
Hi, thanks for the reply.

I have substituted the 2 pts into the equation and using the maximum property to form another one ( 2B = C). However these will only give me 3 equations which are not sufficient to solve all the unknowns. - January 15th 2012, 10:46 AMHallsofIvyRe: Solving unknown values.
You have three equations and the problem, as you stated it, only requires you to find three values.