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Beliebt Geometry >

49x^2+16y^2+196x-96y=444

Lösung

49 x^{2} + 16 y^{2} + 196 x - 96 y = 444

Lösung

(h, k) = (- 2, 3), a = 4, b = 7

Schritte zur Lösung

49 x^{2} + 16 y^{2} + 196 x - 96 y = 444

Rewrite

49 x^{2} + 16 y^{2} + 196 x - 96 y = 444

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} + \frac{( y - 3 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 3), a = 4, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 3), b = 7, a = 4

Graph

Beliebte Beispiele

((x-2)^2)/(16)+((y-3)^2)/(25)=1

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{25} = 1

(x^2)/(49)+(y^2)/(81)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{81} = 1

3x^2+5y^2-6x+2y-9=0

3 x^{2} + 5 y^{2} - 6 x + 2 y - 9 = 0

9x^2+25y^2+18x-100y-116=0

9 x^{2} + 25 y^{2} + 18 x - 100 y - 116 = 0

9x^2+25y^2-36x+50y-164=0

9 x^{2} + 25 y^{2} - 36 x + 50 y - 164 = 0