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Beliebt Geometry >

center 2x^2-6x+2y^2+2y=45

Lösung

center

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

Lösung

(\frac{3}{2}, - \frac{1}{2})

Schritte zur Lösung

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

Rewrite

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

in the form of the standard circle equation

(x - \frac{3}{2})^{2} + (y - (- \frac{1}{2}))^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (\frac{3}{2}, - \frac{1}{2}), r = 5

And the center is:

(\frac{3}{2}, - \frac{1}{2})

Graph

Beliebte Beispiele

center x^2+24x+y^2+10y=-160

ce n t er x^{2} + 24 x + y^{2} + 10 y = - 160

center (x+2)^2+(y-3)^2=16

ce n t er (x + 2)^{2} + (y - 3)^{2} = 16

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

ce n t er 2 x^{2} - 2 x + 2 y^{2} + 4 y = - 1

center 4x^2+4y^2-4x+2y+1=0

ce n t er 4 x^{2} + 4 y^{2} - 4 x + 2 y + 1 = 0

center x^2+y^2+14x-16y=87

ce n t er x^{2} + y^{2} + 14 x - 16 y = 87