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Beliebt Geometry >

(27x^2)/4-9y^2-54x-18y+225/4 =0

Lösung

\frac{27 x ^{2}}{4} - 9 y^{2} - 54 x - 18 y + \frac{225}{4} = 0

Lösung

(h, k) = (4, - 1), a = \frac{19}{3}, b = \frac{19}{2}

Schritte zur Lösung

\frac{27 x ^{2}}{4} - 9 y^{2} - 54 x - 18 y + \frac{225}{4} = 0

Rewrite

\frac{27 x ^{2}}{4} - 9 y^{2} - 54 x - 18 y + \frac{225}{4} = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{( \frac{19}{3} ) ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{( \frac{19}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, - 1), a = \frac{19}{3}, b = \frac{19}{2}

Graph

Beliebte Beispiele

9y^2-16x^2-90y-128x-175=0

9 y^{2} - 16 x^{2} - 90 y - 128 x - 175 = 0

x^{2} - 1 y^{2} = 88

(x^2)/(64)-(y^2)/(49)=1

\frac{x ^{2}}{64} - \frac{y ^{2}}{49} = 1

(x^2)/3-(y^2)/8 =1

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

(x+3)^2-y^2=159

(x + 3)^{2} - y^{2} = 159