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Beliebt Geometry >

3x^2+4y^2+24x-16y+52=0

Lösung

3 x^{2} + 4 y^{2} + 24 x - 16 y + 52 = 0

Lösung

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

Schritte zur Lösung

3 x^{2} + 4 y^{2} + 24 x - 16 y + 52 = 0

Rewrite

3 x^{2} + 4 y^{2} + 24 x - 16 y + 52 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

((x-6)^2)/(36)+((y+4)^2)/(16)=1

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 4 ) ^{2}}{16} = 1

((x-3)^2)/(36)+((y-3)^2)/(32)=1

\frac{( x - 3 ) ^{2}}{36} + \frac{( y - 3 ) ^{2}}{32} = 1

3x^2+y^2+12x-2y+1=0

3 x^{2} + y^{2} + 12 x - 2 y + 1 = 0

36x^2+9y^2+288x-90y+477=0

36 x^{2} + 9 y^{2} + 288 x - 90 y + 477 = 0

((x^2)/(72))+((y^2)/(21))=1

(\frac{x ^{2}}{72}) + (\frac{y ^{2}}{21}) = 1