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Beliebt Geometry >

center x^2+5y^2-4x+20y=-19

Lösung

center

x^{2} + 5 y^{2} - 4 x + 20 y = - 19

Lösung

(2, - 2)

Schritte zur Lösung

x^{2} + 5 y^{2} - 4 x + 20 y = - 19

Rewrite

x^{2} + 5 y^{2} - 4 x + 20 y = - 19

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 2), a = 5, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 2), a = 5, b = 1

And the center is:

(2, - 2)

Graph

Beliebte Beispiele

center 49x^2+625y^2=30625

ce n t er 49 x^{2} + 625 y^{2} = 30625

center x^2+3y^2+2x-12y+10=0

ce n t er x^{2} + 3 y^{2} + 2 x - 12 y + 10 = 0

center ((x+2)^2)/(81)+(y^2)/(36)=1

ce n t er \frac{( x + 2 ) ^{2}}{81} + \frac{y ^{2}}{36} = 1

center 25x^2+16y^2<400

ce n t er 25 x^{2} + 16 y^{2} < 400

center 9x^2+49y^2+18x+294y-9=0

ce n t er 9 x^{2} + 49 y^{2} + 18 x + 294 y - 9 = 0