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Beliebt Geometry >

5x^2-3y^2+35x+24y+25=0

Lösung

5 x^{2} - 3 y^{2} + 35 x + 24 y + 25 = 0

Lösung

(h, k) = (- \frac{7}{2}, 4), a = \frac{47}{2 3}, b = \frac{47}{2 5}

Schritte zur Lösung

5 x^{2} - 3 y^{2} + 35 x + 24 y + 25 = 0

Rewrite

5 x^{2} - 3 y^{2} + 35 x + 24 y + 25 = 0

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{( \frac{47}{2 3} ) ^{2}} - \frac{( x - ( - \frac{7}{2} ) ) ^{2}}{( \frac{47}{2 5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{7}{2}, 4), a = \frac{47}{2 3}, b = \frac{47}{2 5}

Graph

Beliebte Beispiele

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

(y^2)/9-(x^2)/7 =1

\frac{y ^{2}}{9} - \frac{x ^{2}}{7} = 1

4x^{(2)}-4y^{(2)}-4x+8y-19=0

4 x^{(2)} - 4 y^{(2)} - 4 x + 8 y - 19 = 0

-(y^2)/4+(z^2)/9 =1

- \frac{y ^{2}}{4} + \frac{z ^{2}}{9} = 1

10x^2-64y^2-140x+768y-2454=0

10 x^{2} - 64 y^{2} - 140 x + 768 y - 2454 = 0