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Beliebt Geometry >

foki ((y-9/2)^2)/(49)-((x-7/2)^2)/(49)=1

Lösung

foki

\frac{( y - \frac{9}{2} ) ^{2}}{49} - \frac{( x - \frac{7}{2} ) ^{2}}{49} = 1

Lösung

(\frac{7}{2}, \frac{9 + 14 2}{2}), (\frac{7}{2}, \frac{9 - 14 2}{2})

Schritte zur Lösung

(h, k + c), (h, k - c)

Calculate Hyperbola properties

\frac{( y - \frac{9}{2} ) ^{2}}{49} - \frac{( x - \frac{7}{2} ) ^{2}}{49} = 1 :

Up-down Hyperbola with

(h, k) = (\frac{7}{2}, \frac{9}{2}), a = 7, b = 7

(\frac{7}{2}, \frac{9}{2} + c), (\frac{7}{2}, \frac{9}{2} - c)

Compute

c :

c = 7^{2} + 7^{2} : 72

(\frac{7}{2}, \frac{9}{2} + 72), (\frac{7}{2}, \frac{9}{2} - 72)

Fasse zusammen

(\frac{7}{2}, \frac{9 + 14 2}{2}), (\frac{7}{2}, \frac{9 - 14 2}{2})

Graph

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