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Beliebt Geometry >

7x^2-5y^2-14x+40y-108=0

Lösung

7 x^{2} - 5 y^{2} - 14 x + 40 y - 108 = 0

Lösung

(h, k) = (1, 4), a = 5, b = 7

Schritte zur Lösung

7 x^{2} - 5 y^{2} - 14 x + 40 y - 108 = 0

Rewrite

7 x^{2} - 5 y^{2} - 14 x + 40 y - 108 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( 5 ) ^{2}} - \frac{( y - 4 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 4), a = 5, b = 7

Graph

Beliebte Beispiele

y^{2} - x^{2} = 25

36(x-5)^2-64(y-2)^2=2304

36 (x - 5)^{2} - 64 (y - 2)^{2} = 2304

((y-4)^2)/(36)-((x-1)^2)/(16)=1

\frac{( y - 4 ) ^{2}}{36} - \frac{( x - 1 ) ^{2}}{16} = 1

-16x^2+y^2+128x+2y-271=0

- 16 x^{2} + y^{2} + 128 x + 2 y - 271 = 0

x^{2} - 36 y^{2} = 36