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Beliebt Geometry >

(x^2-8x+16}{16}-\frac{y^2+4y-4)/9 =0

Lösung

\frac{x ^{2} - 8 x + 16}{16} - \frac{y ^{2} + 4 y - 4}{9} = 0

Lösung

(h, k) = (4, - 2), a = 22, b = \frac{8 2}{3}

Schritte zur Lösung

\frac{x ^{2} - 8 x + 16}{16} - \frac{y ^{2} + 4 y - 4}{9} = 0

Rewrite

\frac{x ^{2} - 8 x + 16}{16} - \frac{y ^{2} + 4 y - 4}{9} = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 2 ) ) ^{2}}{( 2 2 ) ^{2}} - \frac{( x - 4 ) ^{2}}{( \frac{8 2}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, - 2), a = 22, b = \frac{8 2}{3}

Graph

Beliebte Beispiele

50x^2-25y^2+144x-68y-75=0

50 x^{2} - 25 y^{2} + 144 x - 68 y - 75 = 0

4x^2-y^2-20x-10y+25=0

4 x^{2} - y^{2} - 20 x - 10 y + 25 = 0

(x^2)/(0.0008)-(y^2)/(0.999)=1

\frac{x ^{2}}{0.0008} - \frac{y ^{2}}{0.999} = 1

-4y^2+9x^2-27x-16y=2

- 4 y^{2} + 9 x^{2} - 27 x - 16 y = 2

x^{2} - 9 y^{2} = 144