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Beliebt Geometry >

y^2=4x^2-9

Lösung

y^{2} = 4 x^{2} - 9

Lösung

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

Schritte zur Lösung

y^{2} = 4 x^{2} - 9

Rewrite

y^{2} = 4 x^{2} - 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

Graph

Beliebte Beispiele

(y^2)/(121)-(x^2)/(196)=1

\frac{y ^{2}}{121} - \frac{x ^{2}}{196} = 1

((x-1)^2)/9-((y+3)^2)/4 =1

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{4} = 1

4 x^{2} - 18 y^{2} = 36

9x^2-4y^2-90x+32y-163=0

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

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