SOLUTION: Please help me solve this problem Convert the General Equation 36y2-64x2-128x-144y-2512=0 to Standard form. Sketch and determine the parts of the Hyperbola. Parts of Hyperbola

Question 1181018: Please help me solve this problem
Convert the General Equation 36y2-64x2-128x-144y-2512=0 to Standard form.
Sketch and determine the parts of the Hyperbola.
Parts of Hyperbola:
1. Center
2. Foci
3. Vertices
4. Length of Conjugate Axis B1, B2
5. End Points of Latus Rectum E1, E2, E3, E4
6. Asymptotes
7. Eccentricity
8. Length of LR
9. Length of Conjugate Axis
10. Length of Traverse Axis
Thank you and God bless
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Convert the General Equation
to Standard form.

....both sides divide by
...simplify

Up-down hyperbola with:
=>, ,
,
Sketch and determine the parts of the Hyperbola.
Parts of Hyperbola:
1. Center:=>, => center (, )
2. Foci: or
->
so, foci are at
(, ) or (, )
(, ) or (, )
3. Vertices:(, ), and the other is at (, )
(, ), (, )
(, ), (, )
Co-vertices :
(, ) => (, )
(, ) =>(, )
4. End Points of Conjugate Axis B1, B2
The co-vertices of a hyperbola are the endpoints of the conjugate axis
B1=(, )
B2=(, )
distance between:
5. End Points of Latus Rectum
take y coordinate of the focus, as a line
foci is at (, ) or (, )
take and find intersection with

≈
≈
E1= ( ,)
E2=(,)
E3=(,)
E4=(,)
6. Asymptotes: ,
7. Eccentricity:
8. Length of LR:≈
10. Length of Traverse Axis:12sqrt(2) ≈16.97

RELATED QUESTIONS
Dear Sir/Ma'am Please help me solve this problem: Convert the general equation... (answered by ikleyn)

Convert the equation to standard form. Locate the foci and find the equation of the... (answered by Alan3354,greenestamps)

Please help me solve this equation: 64x^2-128x-64 note: it is -128x not... (answered by stanbon)

Please help me solve this equation:... (answered by solver91311)

Please help me solve this equation: Factor the following equation (answered by solver91311)

Dearest Sir, Please, I need your help about this problem. Help me solve it and also... (answered by MathLover1)

Dear Sir, Please help me solve this problem with your solution. Convert the general (answered by Boreal)

Dear Sir/Ma'am Please help me solve this problem. Given the equation... (answered by MathLover1)

classify the conic section and write the equation in standard form for 9x^2 36Y^2... (answered by Alan3354)