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Beliebt Geometry >

x^2-4y^2-6x-16y-16=0

Lösung

x^{2} - 4 y^{2} - 6 x - 16 y - 16 = 0

Lösung

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

Schritte zur Lösung

x^{2} - 4 y^{2} - 6 x - 16 y - 16 = 0

Rewrite

x^{2} - 4 y^{2} - 6 x - 16 y - 16 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

((x-7)^2)/9-((y+3)^2)/(16)=1

\frac{( x - 7 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{16} = 1

144x^2-25y^2+864x-100y+2004=0

144 x^{2} - 25 y^{2} + 864 x - 100 y + 2004 = 0

y^2-4x^2+4y+24x-41=0

y^{2} - 4 x^{2} + 4 y + 24 x - 41 = 0

solvefor x,3m(x)^2-2x^2-1=0

so l v e f or x, 3 m (x)^{2} - 2 x^{2} - 1 = 0

5 x^{2} - 4 y^{2} - 80 = 0