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Beliebt Geometry >

3y^2-3x^2+5x+10y=5x^2+1

Lösung

3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1

Lösung

(h, k) = (\frac{5}{16}, - \frac{5}{3}), a = \frac{821}{12 2}, b = \frac{821}{16 3}

Schritte zur Lösung

3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1

Rewrite

3 y^{2} - 3 x^{2} + 5 x + 10 y - 5 x^{2} - 1 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{5}{3} ) ) ^{2}}{( \frac{821}{12 2} ) ^{2}} - \frac{( x - \frac{5}{16} ) ^{2}}{( \frac{821}{16 3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{5}{16}, - \frac{5}{3}), a = \frac{821}{12 2}, b = \frac{821}{16 3}

Graph

Beliebte Beispiele

x^2+8x-y^2-9y=6

(y^2)/(16)-(x^2)/(49)=1

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