What is 4x^2-9y^2-16x+36y=56 ?

The solution to 4x^2-9y^2-16x+36y=56 is Hyperbola with (h,k)=(2,2),a=3,b=2

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4x^2-9y^2-16x+36y=56

4 x^{2} - 9 y^{2} - 16 x + 36 y = 56

(h, k) = (2, 2), a = 3, b = 2

Solution steps

4 x^{2} - 9 y^{2} - 16 x + 36 y = 56

Rewrite

4 x^{2} - 9 y^{2} - 16 x + 36 y = 56

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 2), a = 3, b = 2

x, \frac{x ^{2}}{4} + 1 = 3 m (x)^{2} - 1

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

(\frac{( x + 1 )}{16})^{2} - (\frac{( y - 4 )}{25})^{2} = 1

x^{2} - 4 y^{2} - 4 x - 12 = 0

x^{2} - y^{2} + 2 x - 5 y + 10 = 0

What is 4x^2-9y^2-16x+36y=56 ?
The solution to 4x^2-9y^2-16x+36y=56 is Hyperbola with (h,k)=(2,2),a=3,b=2