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Beliebt Geometry >

9x^2-16y^2-54x-64y+1=0

Lösung

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

Rewrite

9 x^{2} - 16 y^{2} - 54 x - 64 y + 1 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

x^2-4y^2-4x+24y+37=0

x^{2} - 4 y^{2} - 4 x + 24 y + 37 = 0

6x^2-y^2-12x-6y+5=0

6 x^{2} - y^{2} - 12 x - 6 y + 5 = 0

4a2-9b2=(2a2+3b2)(2a2-3b2)

4 a 2 - 9 b 2 = (2 a 2 + 3 b 2) (2 a 2 - 3 b 2)

25x^2-9y^2+50x-36y-236=0

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

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

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