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Beliebt Geometry >

x^2+16y^2+4x-32y-44=0

Lösung

x^{2} + 16 y^{2} + 4 x - 32 y - 44 = 0

Lösung

(h, k) = (- 2, 1), a = 8, b = 2

Schritte zur Lösung

x^{2} + 16 y^{2} + 4 x - 32 y - 44 = 0

Rewrite

x^{2} + 16 y^{2} + 4 x - 32 y - 44 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 8, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), a = 8, b = 2

Graph

Beliebte Beispiele

16x^2+2y^2-64x+150y-11=0

16 x^{2} + 2 y^{2} - 64 x + 150 y - 11 = 0

25 x^{2} + 16 y^{2} = 1

3 x^{2} + 7 y^{2} = 63

(x^2)/9+((y+5)^2)/(25)=1

\frac{x ^{2}}{9} + \frac{( y + 5 ) ^{2}}{25} = 1

(x^2)/(16)+(y^2)/(64)=1

\frac{x ^{2}}{16} + \frac{y ^{2}}{64} = 1