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Beliebt Geometry >

y^2-4y=3x^2-10x

Lösung

y^{2} - 4 y = 3 x^{2} - 10 x

Lösung

(h, k) = (\frac{5}{3}, 2), a = \frac{13}{3}, b = \frac{13}{3}

Schritte zur Lösung

y^{2} - 4 y = 3 x^{2} - 10 x

Rewrite

y^{2} - 4 y = 3 x^{2} - 10 x

in the form of a standard hyperbola equation

\frac{( x - \frac{5}{3} ) ^{2}}{( \frac{13}{3} ) ^{2}} - \frac{( y - 2 ) ^{2}}{( \frac{13}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{5}{3}, 2), a = \frac{13}{3}, b = \frac{13}{3}

Graph

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