center x^2-25y^2-14x+100y-76=0

Lösung

center

x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0

(7, 2)

Schritte zur Lösung

x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0

Rewrite

x^{2} - 25 y^{2} - 14 x + 100 y - 76 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (7, 2), a = 5, b = 1

And the center is:

(7, 2)

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

ce n t er 9 x^{2} - 4 y^{2} + 36 x + 8 y + 33 = 0

ce n t er \frac{y ^{2}}{5} - \frac{x ^{2}}{5} = 1