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Beliebt Geometry >

x^2-y^2-2x+4y=2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^{2} - y^{2} - 100 = 0

((x-2)^2)/1-((y+3)^2)/9 =1

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

((x-3)^2)/(49)-((y+2)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{49} - \frac{( y + 2 ) ^{2}}{16} = 1

3x^2-y^2-2x+39=0

3 x^{2} - y^{2} - 2 x + 39 = 0

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

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