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Beliebt Geometry >

x^2-3y^2+11x+y+10=0

Lösung

x^{2} - 3 y^{2} + 11 x + y + 10 = 0

Lösung

(h, k) = (- \frac{11}{2}, \frac{1}{6}), a = \frac{11}{6}, b = \frac{11}{3 2}

Schritte zur Lösung

x^{2} - 3 y^{2} + 11 x + y + 10 = 0

Rewrite

x^{2} - 3 y^{2} + 11 x + y + 10 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - \frac{11}{2} ) ) ^{2}}{( \frac{11}{6} ) ^{2}} - \frac{( y - \frac{1}{6} ) ^{2}}{( \frac{11}{3 2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{11}{2}, \frac{1}{6}), a = \frac{11}{6}, b = \frac{11}{3 2}

Graph

Beliebte Beispiele

16y^2-4x^2-24x-12y-34=0

16 y^{2} - 4 x^{2} - 24 x - 12 y - 34 = 0

x^{2} + x - y^{2} = 5

(x-8)^2-(y+6)^2=1

(x - 8)^{2} - (y + 6)^{2} = 1

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

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

\frac{x ^{2}}{1} - \frac{y ^{2}}{9} = 1