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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

Beliebte Beispiele

foki 64y^2-4x^2=256

f oc i 64 y^{2} - 4 x^{2} = 256

foki 4x^2-y^2-24x+20=0

f oc i 4 x^{2} - y^{2} - 24 x + 20 = 0

foki ((x+3)^2)/9-((y-2)^2)/(16)=1

f oc i \frac{( x + 3 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1

foki 9x^2-y^2-54x-2y-1=0

f oc i 9 x^{2} - y^{2} - 54 x - 2 y - 1 = 0

foki (x^2)/(60)-(y^2)/(40)=1

f oc i \frac{x ^{2}}{60} - \frac{y ^{2}}{40} = 1