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Beliebt Geometry >

25x^2+10918x-25y^2-29y=2321

Lösung

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

Lösung

(h, k) = (- \frac{5459}{25}, - \frac{29}{50}), a = \frac{119433983}{50}, b = \frac{119433983}{50}

Schritte zur Lösung

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

Rewrite

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

in the form of a standard hyperbola equation

\frac{( x - ( - \frac{5459}{25} ) ) ^{2}}{( \frac{119433983}{50} ) ^{2}} - \frac{( y - ( - \frac{29}{50} ) ) ^{2}}{( \frac{119433983}{50} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{5459}{25}, - \frac{29}{50}), a = \frac{119433983}{50}, b = \frac{119433983}{50}

Graph

Beliebte Beispiele

100x^2+112952x-100y^2-106y=48838

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

((x+2)^2)/(25)-((y-1)^2)/(144)=1

\frac{( x + 2 ) ^{2}}{25} - \frac{( y - 1 ) ^{2}}{144} = 1

9x^2-4y^2+18x-24y+9=0

9 x^{2} - 4 y^{2} + 18 x - 24 y + 9 = 0

x^2-y^2+8x-2y+14=0

x^{2} - y^{2} + 8 x - 2 y + 14 = 0

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