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Beliebt Geometry >

center 9x^2+16y^2-18x+96y-279=0

Lösung

center

9 x^{2} + 16 y^{2} - 18 x + 96 y - 279 = 0

Lösung

(1, - 3)

Schritte zur Lösung

9 x^{2} + 16 y^{2} - 18 x + 96 y - 279 = 0

Rewrite

9 x^{2} + 16 y^{2} - 18 x + 96 y - 279 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 3), a = 43, b = 33

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - 3), a = 43, b = 33

And the center is:

(1, - 3)

Graph

Beliebte Beispiele

center 20x^2-16y^2-40x128x-556=0

ce n t er 20 x^{2} - 16 y^{2} - 40 x 128 x - 556 = 0

center 9x^2+16y^2+126x+96y+441=0

ce n t er 9 x^{2} + 16 y^{2} + 126 x + 96 y + 441 = 0

center 5x^2+9y^2-10x+4=0

ce n t er 5 x^{2} + 9 y^{2} - 10 x + 4 = 0

center 3x^2+4y^2=12

ce n t er 3 x^{2} + 4 y^{2} = 12

center 25(x-2)^2+9(y+3)^2=225

ce n t er 25 (x - 2)^{2} + 9 (y + 3)^{2} = 225