What is x^2+36y-32x-y^2=75 ?

The solution to x^2+36y-32x-y^2=75 is Hyperbola with (h,k)=(16,18),a=sqrt(7),b=sqrt(7)

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x^2+36y-32x-y^2=75

x^{2} + 36 y - 32 x - y^{2} = 75

(h, k) = (16, 18), a = 7, b = 7

Solution steps

x^{2} + 36 y - 32 x - y^{2} = 75

Rewrite

x^{2} + 36 y - 32 x - y^{2} = 75

in the form of a standard hyperbola equation

\frac{( x - 16 ) ^{2}}{( 7 ) ^{2}} - \frac{( y - 18 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (16, 18), a = 7, b = 7

x^{2} - y^{2} + 4 x - 4 y - 1 = 0

y^{2} = x^{2} + 5

x^{2} - 5 y^{2} - 2 x + 20 y = 44

2 x^{2} - 4 y^{2} - 4 x - 8 y = 6

\frac{( x + 1 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{12} = 1

What is x^2+36y-32x-y^2=75 ?
The solution to x^2+36y-32x-y^2=75 is Hyperbola with (h,k)=(16,18),a=sqrt(7),b=sqrt(7)