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Beliebt Geometry >

(x^2)/2-1/2 =(y^2)/(200)-1/200

Lösung

\frac{x ^{2}}{2} - \frac{1}{2} = \frac{y ^{2}}{200} - \frac{1}{200}

Lösung

(h, k) = (0, 0), a = \frac{3 11}{10}, b = 311

Schritte zur Lösung

\frac{x ^{2}}{2} - \frac{1}{2} = \frac{y ^{2}}{200} - \frac{1}{200}

Rewrite

\frac{x ^{2}}{2} - \frac{1}{2} - \frac{y ^{2}}{200} + \frac{1}{200} = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{3 11}{10} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 3 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3 11}{10}, b = 311

Graph

Beliebte Beispiele

- y^{2} + 8 z^{2} = - 8

9 x^{2} - 8 y^{2} = 3

((x+8)^2)/(169)-((y+9)^2)/(25)=1

\frac{( x + 8 ) ^{2}}{169} - \frac{( y + 9 ) ^{2}}{25} = 1

((x-3)^2)/9-((y-1)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

9 x^{2} - 100 y^{2} = 25