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Beliebt Geometry >

foki ((y+7/2)^2)/(25)-((x-9/2)^2)/(25)=1

Lösung

foki

\frac{( y + \frac{7}{2} ) ^{2}}{25} - \frac{( x - \frac{9}{2} ) ^{2}}{25} = 1

Lösung

(\frac{9}{2}, \frac{- 7 + 10 2}{2}), (\frac{9}{2}, \frac{- 7 - 10 2}{2})

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( y + \frac{7}{2} ) ^{2}}{25} - \frac{( x - \frac{9}{2} ) ^{2}}{25} = 1 :

Up-down Hyperbola with

(h, k) = (\frac{9}{2}, - \frac{7}{2}), a = 5, b = 5

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

Compute

c :

c = 5^{2} + 5^{2} : 52

(\frac{9}{2}, - \frac{7}{2} + 52), (\frac{9}{2}, - \frac{7}{2} - 52)

Fasse zusammen

(\frac{9}{2}, \frac{- 7 + 10 2}{2}), (\frac{9}{2}, \frac{- 7 - 10 2}{2})

Graph

Beliebte Beispiele

foki y^2-4x^2=16

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

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

foki x^2-9y^2=144

foki ((x-1)^2}{25}-\frac{(y+3)^2)/9 =1