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Beliebt Geometry >

9x^2-16y^2-18x-64y-200=0

Lösung

9 x^{2} - 16 y^{2} - 18 x - 64 y - 200 = 0

Lösung

(h, k) = (1, - 2), a = \frac{145}{3}, b = \frac{145}{4}

Schritte zur Lösung

9 x^{2} - 16 y^{2} - 18 x - 64 y - 200 = 0

Rewrite

9 x^{2} - 16 y^{2} - 18 x - 64 y - 200 = 0

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( \frac{145}{3} ) ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{( \frac{145}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = \frac{145}{3}, b = \frac{145}{4}

Graph

Beliebte Beispiele

4x^2-16y^2-64y-128=0

4 x^{2} - 16 y^{2} - 64 y - 128 = 0

x^{2} + 5^{2} = y^{2}

x^2-9y^2+2x-5yy-80=0

x^{2} - 9 y^{2} + 2 x - 5 yy - 80 = 0

500a^2=4368.932+500b^2

500 a^{2} = 4368.932 + 500 b^{2}

9 a^{2} = 9 b^{2} + 4455