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Beliebt Geometry >

4y^2+2y=x^2-1

Lösung

4 y^{2} + 2 y = x^{2} - 1

Lösung

(h, k) = (0, - \frac{1}{4}), a = \frac{3}{2}, b = \frac{3}{4}

Schritte zur Lösung

4 y^{2} + 2 y = x^{2} - 1

Rewrite

4 y^{2} + 2 y = x^{2} - 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( y - ( - \frac{1}{4} ) ) ^{2}}{( \frac{3}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{1}{4}), a = \frac{3}{2}, b = \frac{3}{4}

Graph

Beliebte Beispiele

9x^2-4y^2-18x-24y-63=0

9 x^{2} - 4 y^{2} - 18 x - 24 y - 63 = 0

9x^2-4y^2+54x-8y+78=0

9 x^{2} - 4 y^{2} + 54 x - 8 y + 78 = 0

4 x^{2} - 9 y^{2} + 36 = 0

8 x^{2} - 3 y^{2} = 120

5y^2-16x^2+400=0

5 y^{2} - 16 x^{2} + 400 = 0