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Beliebt Geometry >

36x^2-16y^2-144x+128y-265=0

Lösung

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

Lösung

(h, k) = (2, 4), a = \frac{17}{2}, b = \frac{3 17}{4}

Schritte zur Lösung

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

Rewrite

36 x^{2} - 16 y^{2} - 144 x + 128 y - 265 = 0

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{( \frac{17}{2} ) ^{2}} - \frac{( y - 4 ) ^{2}}{( \frac{3 17}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 4), a = \frac{17}{2}, b = \frac{3 17}{4}

Graph

Beliebte Beispiele

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

9x^2-16y^2-54x-64y-127=0

9 x^{2} - 16 y^{2} - 54 x - 64 y - 127 = 0

4 x^{2} - 5 y^{2} = 7

1/(x^2-y^2)>= 1

\frac{1}{x ^{2} - y ^{2}} \geq 1

-x^2+2y^2+6x-7y=7

- x^{2} + 2 y^{2} + 6 x - 7 y = 7