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Beliebt Geometry >

16x^2+36y^2-256x+576y+2752=0

Lösung

16 x^{2} + 36 y^{2} - 256 x + 576 y + 2752 = 0

Lösung

(h, k) = (8, - 8), a = 6, b = 4

Schritte zur Lösung

16 x^{2} + 36 y^{2} - 256 x + 576 y + 2752 = 0

Rewrite

16 x^{2} + 36 y^{2} - 256 x + 576 y + 2752 = 0

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{6 ^{2}} + \frac{( y - ( - 8 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, - 8), a = 6, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (8, - 8), a = 6, b = 4

Graph

Beliebte Beispiele

x^{2} + 5 y^{2} = 150

36 x^{2} + 16 y^{2} = 49

81X^2+49Y^2=3969

81 X^{2} + 49 Y^{2} = 3969

((x-5)^2)/4+((y+2)^2)/1 =1

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

(8x^2-12x+8y^2+20y+17)/8-2=0

\frac{8 x ^{2} - 12 x + 8 y ^{2} + 20 y + 17}{8} - 2 = 0