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Beliebt Geometry >

4x^2-12y^2+8x-2y=2

Lösung

4 x^{2} - 12 y^{2} + 8 x - 2 y = 2

Lösung

(h, k) = (- 1, - \frac{1}{12}), a = \frac{71}{4 3}, b = \frac{71}{12}

Schritte zur Lösung

4 x^{2} - 12 y^{2} + 8 x - 2 y = 2

Rewrite

4 x^{2} - 12 y^{2} + 8 x - 2 y = 2

in the form of a standard hyperbola equation

\frac{( x - ( - 1 ) ) ^{2}}{( \frac{71}{4 3} ) ^{2}} - \frac{( y - ( - \frac{1}{12} ) ) ^{2}}{( \frac{71}{12} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 1, - \frac{1}{12}), a = \frac{71}{4 3}, b = \frac{71}{12}

Graph

Beliebte Beispiele

((x-3)/(16))^2-((y+2)/(36))^2=1

(\frac{x - 3}{16})^{2} - (\frac{y + 2}{36})^{2} = 1

y^{2} = x^{2} + 16

y^{2} = x^{2} + 15

y^{2} = x^{2} + 20

(x^2)/3-(y^2)/3 =9

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 9