center 7x^2-9y^2-14x+72y-200=0

Lösung

center

7 x^{2} - 9 y^{2} - 14 x + 72 y - 200 = 0

(1, 4)

Schritte zur Lösung

7 x^{2} - 9 y^{2} - 14 x + 72 y - 200 = 0

Rewrite

7 x^{2} - 9 y^{2} - 14 x + 72 y - 200 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} - \frac{( y - 4 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 4), a = 3, b = 7

And the center is:

(1, 4)