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Beliebt Geometry >

25x^2-4y^2+50x+8y+121=0

Lösung

25 x^{2} - 4 y^{2} + 50 x + 8 y + 121 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} - 4 y^{2} + 50 x + 8 y + 121 = 0

Rewrite

25 x^{2} - 4 y^{2} + 50 x + 8 y + 121 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^{2} - y^{2} = 12

x^{2} - y^{2} = 17

((x-5)^2)/1-((y-4)^2)/1 =1

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

y^{2} - y - x^{2} = 0

((x-7)^2)/(64)-((y-6)^2)/(36)=1

\frac{( x - 7 ) ^{2}}{64} - \frac{( y - 6 ) ^{2}}{36} = 1