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Beliebt Geometry >

9x^2-4y^2-18x+18y+10=0

Lösung

9 x^{2} - 4 y^{2} - 18 x + 18 y + 10 = 0

Lösung

(h, k) = (1, \frac{9}{4}), a = \frac{85}{4}, b = \frac{85}{6}

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 18 x + 18 y + 10 = 0

Rewrite

9 x^{2} - 4 y^{2} - 18 x + 18 y + 10 = 0

in the form of a standard hyperbola equation

\frac{( y - \frac{9}{4} ) ^{2}}{( \frac{85}{4} ) ^{2}} - \frac{( x - 1 ) ^{2}}{( \frac{85}{6} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, \frac{9}{4}), a = \frac{85}{4}, b = \frac{85}{6}

Graph

Beliebte Beispiele

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

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

a^{2} - b^{2} = 2017

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

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

1 = aa - bb

25x^2-36y^2-150x-288y-1251=0

25 x^{2} - 36 y^{2} - 150 x - 288 y - 1251 = 0