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Beliebt Geometry >

4x^2-4y^2-4x+8y-19=0

Lösung

4 x^{2} - 4 y^{2} - 4 x + 8 y - 19 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} - 4 y^{2} - 4 x + 8 y - 19 = 0

Rewrite

4 x^{2} - 4 y^{2} - 4 x + 8 y - 19 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

25x^2-16y^2=400

25 x^{2} - 16 y^{2} = 400

9 x^{2} - 36 y^{2} = 324

((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1

\frac{( x - h ) ^{2}}{a ^{2}} - \frac{( y - k ) ^{2}}{b ^{2}} = 1

64y^2-36x^2=2304

64 y^{2} - 36 x^{2} = 2304

4x^2+6y-32x-y^2+39=0

4 x^{2} + 6 y - 32 x - y^{2} + 39 = 0