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Beliebt Geometry >

20(x-y)=5x^2-4y^2

Lösung

20 (x - y) = 5 x^{2} - 4 y^{2}

Lösung

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

Schritte zur Lösung

20 (x - y) = 5 x^{2} - 4 y^{2}

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

(y^2)/5-(x^2)/(25)=1

\frac{y ^{2}}{5} - \frac{x ^{2}}{25} = 1

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

\frac{x ^{2} + 1}{4} - \frac{y ^{2} - 2}{9} = - 1

36x^2-9y^2+216x+36y=-207

36 x^{2} - 9 y^{2} + 216 x + 36 y = - 207

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

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

((y-7)^2)/(32)-((x-1)^2)/(64)=1

\frac{( y - 7 ) ^{2}}{32} - \frac{( x - 1 ) ^{2}}{64} = 1