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Beliebt Geometry >

5x^2-4y^2-20x+8y-4=0

Lösung

5 x^{2} - 4 y^{2} - 20 x + 8 y - 4 = 0

Lösung

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

Schritte zur Lösung

5 x^{2} - 4 y^{2} - 20 x + 8 y - 4 = 0

Rewrite

5 x^{2} - 4 y^{2} - 20 x + 8 y - 4 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

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

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

25x^2-4y^2-100x-16y-16=0

25 x^{2} - 4 y^{2} - 100 x - 16 y - 16 = 0

x^{2} - 5 y^{2} = 25

(y^2)/(100)-(x^2)/(36)=1

\frac{y ^{2}}{100} - \frac{x ^{2}}{36} = 1

(y^2}{36}-\frac{x^2)/9 =1

\frac{y ^{2}}{36} - \frac{x ^{2}}{9} = 1