center ((x-5)^2}{25}-\frac{(y+4)^2)/9 =1

Lösung

center

\frac{( x - 5 ) ^{2}}{25} - \frac{( y + 4 ) ^{2}}{9} = 1

(5, - 4)

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{25} - \frac{( y + 4 ) ^{2}}{9} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{25} - \frac{( y + 4 ) ^{2}}{9} = 1

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{5 ^{2}} - \frac{( y - ( - 4 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 4), a = 5, b = 3

And the center is:

(5, - 4)