What is the center 2y^2-5x^2-56y-90x-807=0 ?

The center 2y^2-5x^2-56y-90x-807=0 is (-9,14)

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center 2y^2-5x^2-56y-90x-807=0

center

2 y^{2} - 5 x^{2} - 56 y - 90 x - 807 = 0

(- 9, 14)

Solution steps

2 y^{2} - 5 x^{2} - 56 y - 90 x - 807 = 0

Rewrite

2 y^{2} - 5 x^{2} - 56 y - 90 x - 807 = 0

in the form of a standard hyperbola equation

\frac{( y - 14 ) ^{2}}{( 397 ) ^{2}} - \frac{( x - ( - 9 ) ) ^{2}}{( \frac{794}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 9, 14), a = 397, b = \frac{794}{5}

And the center is:

(- 9, 14)

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

\frac{x ^{2}}{0.0008} - \frac{y ^{2}}{0.999} = 1

\frac{x ^{2}}{36} - \frac{y ^{2}}{16} = 1

\frac{( x + 5 ) ^{2}}{64} - \frac{( y - 1 ) ^{2}}{36} = 1

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 4 ) ^{2}}{36} = 1

What is the center 2y^2-5x^2-56y-90x-807=0 ?
The center 2y^2-5x^2-56y-90x-807=0 is (-9,14)