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Beliebt Geometry >

4x^2-4y^2+8x-4y-3=0

Lösung

4 x^{2} - 4 y^{2} + 8 x - 4 y - 3 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} - 4 y^{2} + 8 x - 4 y - 3 = 0

Rewrite

4 x^{2} - 4 y^{2} + 8 x - 4 y - 3 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

y^2-4x^2-12y-16x*16=0

y^{2} - 4 x^{2} - 12 y - 16 x \cdot 16 = 0

\frac{y ^{2}}{6} - 4 x^{2} = 1

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