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Beliebt Geometry >

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

Lösung

foki

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

Lösung

(1, \frac{4 + 5}{4}), (1, \frac{4 - 5}{4})

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (1, 1), a = \frac{1}{2}, b = \frac{1}{4}

(1, 1 + c), (1, 1 - c)

Compute

c :

c = (\frac{1}{2})^{2} + (\frac{1}{4})^{2} : \frac{5}{4}

(1, 1 + \frac{5}{4}), (1, 1 - \frac{5}{4})

Fasse zusammen

(1, \frac{4 + 5}{4}), (1, \frac{4 - 5}{4})

Graph

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