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Beliebt Geometry >

9x^2-4y^2-36x-16x+20=0

Lösung

9 x^{2} - 4 y^{2} - 36 x - 16 x + 20 = 0

Lösung

(h, k) = (\frac{26}{9}, 0), a = \frac{4 31}{9}, b = \frac{2 31}{3}

Schritte zur Lösung

9 x^{2} - 4 y^{2} - 36 x - 16 x + 20 = 0

Rewrite

9 x^{2} - 4 y^{2} - 36 x - 16 x + 20 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{26}{9} ) ^{2}}{( \frac{4 31}{9} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{2 31}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{26}{9}, 0), a = \frac{4 31}{9}, b = \frac{2 31}{3}

Graph

Beliebte Beispiele

x^2-y^2+3x-4y=6

x^{2} - y^{2} + 3 x - 4 y = 6

4x^2-34y-5y^2+36=0

4 x^{2} - 34 y - 5 y^{2} + 36 = 0

9x^2-4y^2+24<= 0

9 x^{2} - 4 y^{2} + 24 \leq 0

x^{2} - 16 y^{2} = 64

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

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