What is y^2-6x^2+60x+2y=173 ?

The solution to y^2-6x^2+60x+2y=173 is Hyperbola with (h,k)=(5,-1),a=2sqrt(6),b=2

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y^2-6x^2+60x+2y=173

y^{2} - 6 x^{2} + 60 x + 2 y = 173

(h, k) = (5, - 1), a = 26, b = 2

Solution steps

y^{2} - 6 x^{2} + 60 x + 2 y = 173

Rewrite

y^{2} - 6 x^{2} + 60 x + 2 y = 173

in the form of a standard hyperbola equation

\frac{( y - ( - 1 ) ) ^{2}}{( 2 6 ) ^{2}} - \frac{( x - 5 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 1), a = 26, b = 2

4 (x - 2)^{2} - (y - 1)^{2} = 63

\frac{( y + 5 ) ^{2}}{4} - \frac{( x + 2 ) ^{2}}{9} = 1

\frac{( x - 6 ) ^{2}}{4} - \frac{y ^{2}}{9} = 1

25 x^{2} - 32 y^{2} - 800 = 0

3 x^{2} - 3 y^{2} - 2 x + y - 6 = 0

What is y^2-6x^2+60x+2y=173 ?
The solution to y^2-6x^2+60x+2y=173 is Hyperbola with (h,k)=(5,-1),a=2sqrt(6),b=2