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Beliebt Geometry >

6x^2+12x+13=2y^2+4

Lösung

6 x^{2} + 12 x + 13 = 2 y^{2} + 4

Lösung

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

Schritte zur Lösung

6 x^{2} + 12 x + 13 = 2 y^{2} + 4

Rewrite

6 x^{2} + 12 x + 13 - 2 y^{2} - 4 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

4 x^{2} - 25 y^{2} = 16

(x+1)^2-(y+1)^2=2193

(x + 1)^{2} - (y + 1)^{2} = 2193

(x^2}{25}-\frac{(y-3)^2)/4 =1

\frac{x ^{2}}{25} - \frac{( y - 3 ) ^{2}}{4} = 1

y^{2} - 324 x^{2} = - 36

((y^2)}{27}-\frac{(x^2))/0 =1

\frac{( y ^{2} )}{27} - \frac{( x ^{2} )}{0} = 1