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Beliebt Geometry >

4y^2-24y-2x^2+20=2

Lösung

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

Lösung

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

Schritte zur Lösung

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

Rewrite

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

9(x^2-2x)-4(y^2+4y)=-29

9 (x^{2} - 2 x) - 4 (y^{2} + 4 y) = - 29

((y-9)^2)/(45)-((x+3)^2)/(45/2)=1

\frac{( y - 9 ) ^{2}}{45} - \frac{( x + 3 ) ^{2}}{\frac{45}{2}} = 1

y^{(2)}-x^{(2)}=100

y^{(2)} - x^{(2)} = 100

4x^2-9y^2-36y=72

4 x^{2} - 9 y^{2} - 36 y = 72

3x^2+2x-3y^2+14y=-24

3 x^{2} + 2 x - 3 y^{2} + 14 y = - 24