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Beliebt Geometry >

(x^2-4x+4)-(y^2-6y+9)=9

Lösung

(x^{2} - 4 x + 4) - (y^{2} - 6 y + 9) = 9

Lösung

(h, k) = (2, 3), a = 3, b = 3

Schritte zur Lösung

x^{2} - 4 x + 4 - (y^{2} - 6 y + 9) = 9

Rewrite

x^{2} - 4 x + 4 - (y^{2} - 6 y + 9) = 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 3), a = 3, b = 3

Graph

Beliebte Beispiele

a^{2} + 150 = b^{2} + 9

3 x^{2} - 5 y^{2} = 7

((x-2)^2)/4-((y-1)^2)/5 =1

\frac{( x - 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{5} = 1

6x^{(2)}-5y^{(2)}+24x+20y-56=0

6 x^{(2)} - 5 y^{(2)} + 24 x + 20 y - 56 = 0

(x^2)/(49)-((y+2)^2)/(79)=1

\frac{x ^{2}}{49} - \frac{( y + 2 ) ^{2}}{79} = 1