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Beliebt Geometry >

4x^2-25(y-1)^2=100

Lösung

4 x^{2} - 25 (y - 1)^{2} = 100

Lösung

(h, k) = (0, 1), a = 5, b = 2

Schritte zur Lösung

4 x^{2} - 25 (y - 1)^{2} = 100

Rewrite

4 x^{2} - 25 (y - 1)^{2} = 100

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} - \frac{( y - 1 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 1), a = 5, b = 2

Graph

Beliebte Beispiele

(x^2)/(-5)-(y^2)/(-5)=1

\frac{x ^{2}}{- 5} - \frac{y ^{2}}{- 5} = 1

16x^2-y^2-32x-6y-57=0

16 x^{2} - y^{2} - 32 x - 6 y - 57 = 0

(y^2)/(25)-((x+1)^2)/(16)=1

\frac{y ^{2}}{25} - \frac{( x + 1 ) ^{2}}{16} = 1

6x^2-5y^2+36x+20y-16=0

6 x^{2} - 5 y^{2} + 36 x + 20 y - 16 = 0

5 x^{2} - 4 y^{2} = 2