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Beliebt Geometry >

-16x^2+25y^2-32x+100y=316

Lösung

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

Lösung

(h, k) = (- 1, - 2), a = 4, b = 5

Schritte zur Lösung

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

Rewrite

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, - 2), a = 4, b = 5

Graph

Beliebte Beispiele

y^{2} - z^{2} = 4

A^{2} - B^{2} = 280

(8(x+7)^2-12(y-5)^2)/(96)=1

\frac{8 ( x + 7 ) ^{2} - 12 ( y - 5 ) ^{2}}{96} = 1

(x^2)/(180)-((y+1)^2)/(100)=1

\frac{x ^{2}}{180} - \frac{( y + 1 ) ^{2}}{100} = 1

((x-2)^2)/4-((y-1)^2)/3 =1

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