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Beliebt Geometry >

3x^2-y^2-2x-4=0

Lösung

3 x^{2} - y^{2} - 2 x - 4 = 0

Lösung

(h, k) = (\frac{1}{3}, 0), a = \frac{13}{3}, b = \frac{13}{3}

Schritte zur Lösung

3 x^{2} - y^{2} - 2 x - 4 = 0

Rewrite

3 x^{2} - y^{2} - 2 x - 4 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{1}{3} ) ^{2}}{( \frac{13}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{13}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{3}, 0), a = \frac{13}{3}, b = \frac{13}{3}

Graph

Beliebte Beispiele

27x^2-36y^2-216x-72y+225=0

27 x^{2} - 36 y^{2} - 216 x - 72 y + 225 = 0

a = a^{2} - b^{2}

(x^2)/8-(y^2)/(64)=1

\frac{x ^{2}}{8} - \frac{y ^{2}}{64} = 1

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2 x 4 x + (- 2) y 4 y = - 200

x=(5x^2-5y^2)/2

x = \frac{5 x ^{2} - 5 y ^{2}}{2}