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Beliebt Geometry >

center 25x^2+16y^2+100x-96y=156

Lösung

center

25 x^{2} + 16 y^{2} + 100 x - 96 y = 156

Lösung

(- 2, 3)

Schritte zur Lösung

25 x^{2} + 16 y^{2} + 100 x - 96 y = 156

Rewrite

25 x^{2} + 16 y^{2} + 100 x - 96 y = 156

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} + \frac{( y - 3 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 3), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 3), b = 5, a = 4

And the center is:

(- 2, 3)

Graph

Beliebte Beispiele

center 25(x+1)^2+9(y-2)^2=225

ce n t er 25 (x + 1)^{2} + 9 (y - 2)^{2} = 225

center (((x-2)^2}{16})+(\frac{y^2)/9)=1

ce n t er (\frac{( x - 2 ) ^{2}}{16}) + (\frac{y ^{2}}{9}) = 1

center ((x-6)^2)/5+((y+1)^2)/6 =1

ce n t er \frac{( x - 6 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{6} = 1

center 36x^2+5y^2-90y-495=0

ce n t er 36 x^{2} + 5 y^{2} - 90 y - 495 = 0

center 4x^2+y^2+12x+6y+5=0

ce n t er 4 x^{2} + y^{2} + 12 x + 6 y + 5 = 0