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Beliebt Geometry >

4y^2=x^2+100

Lösung

4 y^{2} = x^{2} + 100

Lösung

(h, k) = (0, 0), a = 5, b = 10

Schritte zur Lösung

4 y^{2} = x^{2} + 100

Rewrite

4 y^{2} = x^{2} + 100

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 10

Graph

Beliebte Beispiele

(y^2)/(64)-(x^2)/(49)=1

\frac{y ^{2}}{64} - \frac{x ^{2}}{49} = 1

((x-4)^2)/9-((y+7)^2)/(81)=1

\frac{( x - 4 ) ^{2}}{9} - \frac{( y + 7 ) ^{2}}{81} = 1

(y^2)/(49)-(x^2)/(16)=1

\frac{y ^{2}}{49} - \frac{x ^{2}}{16} = 1

9 y^{2} - 7 x^{2} = 63

0 = x^{2} - y^{2} + 1