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Beliebt Geometry >

2x^2-y^2-1=0

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Graph

Beliebte Beispiele

((x-2)^2)/4-((y+2)^2)/5 =1

\frac{( x - 2 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{5} = 1

((x-3)^2)/(49)-((y+5)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{49} - \frac{( y + 5 ) ^{2}}{25} = 1

((x-8)^2)/9-((y+3)^2)/(16)=1

\frac{( x - 8 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{16} = 1

9x^2-4y^2-54x-16y+29=0

9 x^{2} - 4 y^{2} - 54 x - 16 y + 29 = 0

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