asymptoten x^2-y^2+7x+8y=5

Lösung

asymptoten

x^{2} - y^{2} + 7 x + 8 y = 5

y = x + \frac{7}{2} + 4, y = - (x + \frac{7}{2}) + 4

Schritte zur Lösung

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

x^{2} - y^{2} + 7 x + 8 y = 5 :

Right-left Hyperbola with

(h, k) = (- \frac{7}{2}, 4), a = \frac{5}{2}, b = \frac{5}{2}

y = \frac{\frac{5}{2}}{\frac{5}{2}} (x - (- \frac{7}{2})) + 4, y = - \frac{\frac{5}{2}}{\frac{5}{2}} (x - (- \frac{7}{2})) + 4

Fasse zusammen

y = x + \frac{7}{2} + 4, y = - (x + \frac{7}{2}) + 4

a sy m pt o t es x^{2} - y^{2} - 2 x - 2 y - 4 = 0

a sy m pt o t es 4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

a sy m pt o t es \frac{( x - 5 ) ^{2}}{1} - \frac{( y - 4 ) ^{2}}{1} = 1

a sy m pt o t es (x - 2)^{2} - \frac{( y + 3 ) ^{2}}{9} = 1

a sy m pt o t es 16 x^{2} - 9 y^{2} - 32 x + 36 y + 124 = 0