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Beliebt Geometry >

4x^2-y^2+16x+16y-9=0

Lösung

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

Lösung

(h, k) = (- 2, 8), a = 39, b = \frac{39}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 8 ) ^{2}}{( 39 ) ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{( \frac{39}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 8), a = 39, b = \frac{39}{2}

Graph

Beliebte Beispiele

36x^2-y^2-24x+6y-41=0

36 x^{2} - y^{2} - 24 x + 6 y - 41 = 0

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