What is 3631+896x-54y=9y^2-64x^2 ?

The solution to 3631+896x-54y=9y^2-64x^2 is Hyperbola with (h,k)=(-7,-3),a=8,b=3

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3631+896x-54y=9y^2-64x^2

3631 + 896 x - 54 y = 9 y^{2} - 64 x^{2}

(h, k) = (- 7, - 3), a = 8, b = 3

Solution steps

3631 + 896 x - 54 y = 9 y^{2} - 64 x^{2}

Rewrite

3631 + 896 x - 54 y = 9 y^{2} - 64 x^{2}

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{8 ^{2}} - \frac{( x - ( - 7 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 7, - 3), a = 8, b = 3

4 x^{2} - 16 y^{2} - 64 = 0

3 y^{2} - 3 x^{2} - 15 = 0

\frac{x ^{2}}{9} - 9 y^{2} = 1

4 y^{2} - 9 x^{2} + 36 x - 24 y - 36 = 0

25 y^{2} - 9 x^{2} = 225

What is 3631+896x-54y=9y^2-64x^2 ?
The solution to 3631+896x-54y=9y^2-64x^2 is Hyperbola with (h,k)=(-7,-3),a=8,b=3