center 4x^2-9y^2-24x-36y-36=0

Lösung

center

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

(3, - 2)

Schritte zur Lösung

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

Rewrite

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 2), a = 3, b = 2

And the center is:

(3, - 2)

ce n t er x^{2} - y^{2} = 6

ce n t er x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0

ce n t er \frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

ce n t er \frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

ce n t er 9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0