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Beliebt Geometry >

center x^2-4y^2-20x-64y-172=0

Lösung

center

x^{2} - 4 y^{2} - 20 x - 64 y - 172 = 0

Lösung

(10, - 8)

Schritte zur Lösung

x^{2} - 4 y^{2} - 20 x - 64 y - 172 = 0

Rewrite

x^{2} - 4 y^{2} - 20 x - 64 y - 172 = 0

in the form of a standard hyperbola equation

\frac{( x - 10 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 8 ) ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (10, - 8), a = 4, b = 2

And the center is:

(10, - 8)

Graph

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