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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{4 2}{3}, b = 6

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{4 2}{3} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{4 2}{3}, b = 6

Graph

Beliebte Beispiele

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

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

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

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

(3x-3)^2-(2y-4)^2=43+9+16

(3 x - 3)^{2} - (2 y - 4)^{2} = 43 + 9 + 16

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

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

25x^2-36y^2-200x+360y-1400=0

25 x^{2} - 36 y^{2} - 200 x + 360 y - 1400 = 0