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Beliebt Geometry >

((x^2)/(a^2))-((y^2)/(b^2))=1

Lösung

(\frac{x ^{2}}{a ^{2}}) - (\frac{y ^{2}}{b ^{2}}) = 1

Lösung

(h, k) = (0, 0), a = a, b = b

Schritte zur Lösung

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{a ^{2}} - \frac{( y - 0 ) ^{2}}{b ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = a, b = b

Beliebte Beispiele

y^{2} - 4 x^{2} = 1

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

2y^2-x^2+2x+8y+3=0

2 y^{2} - x^{2} + 2 x + 8 y + 3 = 0

25x^2-100x-9y^2+18y+316=0

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

(y^2)/1-(x^2)/(16)=1

\frac{y ^{2}}{1} - \frac{x ^{2}}{16} = 1