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Beliebt Geometry >

foki ((y+5)^2)/(1/9)-((x-3)^2)/(1/4)=1

Lösung

foki

\frac{( y + 5 ) ^{2}}{\frac{1}{9}} - \frac{( x - 3 ) ^{2}}{\frac{1}{4}} = 1

Lösung

(3, \frac{- 30 + 13}{6}), (3, \frac{- 30 - 13}{6})

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( y + 5 ) ^{2}}{\frac{1}{9}} - \frac{( x - 3 ) ^{2}}{\frac{1}{4}} = 1 :

Up-down Hyperbola with

(h, k) = (3, - 5), a = \frac{1}{3}, b = \frac{1}{2}

(3, - 5 + c), (3, - 5 - c)

Compute

c :

c = (\frac{1}{3})^{2} + (\frac{1}{2})^{2} : \frac{13}{6}

(3, - 5 + \frac{13}{6}), (3, - 5 - \frac{13}{6})

Fasse zusammen

(3, \frac{- 30 + 13}{6}), (3, \frac{- 30 - 13}{6})

Graph

Beliebte Beispiele

foki x^2-y^2-4x+4y+9=0

foki ((x+3)^2)/(25)-((y-2)^2)/(49)=1

foki 4y^2-x^2=900

foki-((x-2)^2)/5+((y+1)^2)/9 =1

foki (x^2)/(64)-(y^2)/(32)=1