What is -x^2+2y^2-20y-6=0 ?

The solution to -x^2+2y^2-20y-6=0 is Hyperbola with (h,k)=(0,5),a=2sqrt(7),b=2sqrt(14)

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-x^2+2y^2-20y-6=0

- x^{2} + 2 y^{2} - 20 y - 6 = 0

(h, k) = (0, 5), a = 27, b = 214

Solution steps

- x^{2} + 2 y^{2} - 20 y - 6 = 0

Rewrite

- x^{2} + 2 y^{2} - 20 y - 6 = 0

in the form of a standard hyperbola equation

\frac{( y - 5 ) ^{2}}{( 2 7 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 2 14 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 5), a = 27, b = 214

\frac{( x - 1 ) ^{2}}{64} - \frac{( y - 2 ) ^{2}}{32} = 1

- x^{2} + 9 y^{2} - 36 y + 27 = 0

(\frac{y - 4}{16})^{2} - (\frac{x - 6}{4})^{2} = 1

\frac{( x - 1 ) ^{2}}{49} - \frac{( y + 3 ) ^{2}}{9} = 1

(y - 3) (y + 1) - (2 x + 1) (x - 3) = 0

What is -x^2+2y^2-20y-6=0 ?
The solution to -x^2+2y^2-20y-6=0 is Hyperbola with (h,k)=(0,5),a=2sqrt(7),b=2sqrt(14)