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Beliebt Geometry >

16x^2-9y^2+96x-72y+144=0

Lösung

16 x^{2} - 9 y^{2} + 96 x - 72 y + 144 = 0

Lösung

(h, k) = (- 3, - 4), a = 4, b = 3

Schritte zur Lösung

16 x^{2} - 9 y^{2} + 96 x - 72 y + 144 = 0

Rewrite

16 x^{2} - 9 y^{2} + 96 x - 72 y + 144 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, - 4), a = 4, b = 3

Graph

Beliebte Beispiele

(x^2)/(81)-(y^2)/(61)=1

\frac{x ^{2}}{81} - \frac{y ^{2}}{61} = 1

((x-sqrt(27))^2)/3-((y-4)^2)/5 =1

\frac{( x - 27 ) ^{2}}{3} - \frac{( y - 4 ) ^{2}}{5} = 1

2 x^{2} - 3 y^{2} = 47

- 9 x^{2} + 4 y^{2} = 144

((x+3)^2)/9-((y-4)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{16} = 1