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Beliebt Geometry >

x^2+2x-100y^2-1000y+2401=0

Lösung

x^{2} + 2 x - 100 y^{2} - 1000 y + 2401 = 0

Lösung

(h, k) = (- 1, - 5), a = 7, b = 70

Schritte zur Lösung

x^{2} + 2 x - 100 y^{2} - 1000 y + 2401 = 0

Rewrite

x^{2} + 2 x - 100 y^{2} - 1000 y + 2401 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{7 ^{2}} - \frac{( x - ( - 1 ) ) ^{2}}{7 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - 5), a = 7, b = 70

Graph

Beliebte Beispiele

9x^2-16y^2+72x+96y+144=0

9 x^{2} - 16 y^{2} + 72 x + 96 y + 144 = 0

(y^2)/(16)-(x^2)/(144)=1

\frac{y ^{2}}{16} - \frac{x ^{2}}{144} = 1

25x^2-16y^2+250x+32y+109=0

25 x^{2} - 16 y^{2} + 250 x + 32 y + 109 = 0

16y^2-x^2+2x+64y+47=0

16 y^{2} - x^{2} + 2 x + 64 y + 47 = 0

x^2+2x-y^2+6y=15

x^{2} + 2 x - y^{2} + 6 y = 15