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Beliebt Geometry >

-25x^2+100y^2+10x-80y=-95

Lösung

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

Lösung

(h, k) = (\frac{1}{5}, \frac{2}{5}), a = \frac{4}{5}, b = \frac{2}{5}

Schritte zur Lösung

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

Rewrite

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{5}, \frac{2}{5}), a = \frac{4}{5}, b = \frac{2}{5}

Graph

Beliebte Beispiele

25x^2-64(y-6)^2=1600

25 x^{2} - 64 (y - 6)^{2} = 1600

((x+4)^2)/9-((y-1)^2)/(16)=1

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - 4 y^{2} \geq 4

x^{2} - y^{2} = 121

5y^2+24y+16-4x^2=0

5 y^{2} + 24 y + 16 - 4 x^{2} = 0