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Beliebt Geometry >

x^2+3x-2y^2+4y=2

Lösung

x^{2} + 3 x - 2 y^{2} + 4 y = 2

Lösung

(h, k) = (- \frac{3}{2}, 1), a = \frac{3}{2}, b = \frac{3}{2 2}

Schritte zur Lösung

x^{2} + 3 x - 2 y^{2} + 4 y = 2

Rewrite

x^{2} + 3 x - 2 y^{2} + 4 y = 2

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- \frac{3}{2}, 1), a = \frac{3}{2}, b = \frac{3}{2 2}

Graph

Beliebte Beispiele

4x^2+16x-25y^2+50y-109=0

4 x^{2} + 16 x - 25 y^{2} + 50 y - 109 = 0

(y^2)/(36)-(x^2)/(14)=1

\frac{y ^{2}}{36} - \frac{x ^{2}}{14} = 1

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

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

(x^2)/(16)-(y^2)/(20)=1

\frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

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

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