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Beliebt Geometry >

2x^2-2y=2y^2+2y+2x-1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

((x-8)/3)^2-((y+3)/4)^2=1

(\frac{x - 8}{3})^{2} - (\frac{y + 3}{4})^{2} = 1

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9x^2-4y^2-36x+72=0

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((y+5)^2)/9-((x-3)^2)/(25)=9

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