center 36x^2-y^2-216x+10y+263=0

Lösung

center

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

(3, 5)

Schritte zur Lösung

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

Rewrite

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{1 ^{2}} - \frac{( y - 5 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 5), a = 1, b = 6

And the center is:

(3, 5)