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Beliebt Geometry >

8x^2+2y^2-16x-16y+8=0

Lösung

8 x^{2} + 2 y^{2} - 16 x - 16 y + 8 = 0

Lösung

(h, k) = (1, 4), a = 2, b = 4

Schritte zur Lösung

8 x^{2} + 2 y^{2} - 16 x - 16 y + 8 = 0

Rewrite

8 x^{2} + 2 y^{2} - 16 x - 16 y + 8 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 4), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 4), b = 4, a = 2

Graph

Beliebte Beispiele

5x^2+2y^2+12y+8=0

5 x^{2} + 2 y^{2} + 12 y + 8 = 0

y^{2} = 100 - 4 x^{2}

4x^2+y^2+4x+8y+12=0

4 x^{2} + y^{2} + 4 x + 8 y + 12 = 0

((y-4)^2)/9+((x-1)^2)/4 =1

\frac{( y - 4 ) ^{2}}{9} + \frac{( x - 1 ) ^{2}}{4} = 1

(x^2-2x+y^2)/(4-y)=14

\frac{x ^{2} - 2 x + y ^{2}}{4 - y} = 14