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Beliebt Geometry >

8x^2+y^2-32x-16y=-16

Lösung

8 x^{2} + y^{2} - 32 x - 16 y = - 16

Lösung

(h, k) = (2, 8), a = 10, b = 45

Schritte zur Lösung

8 x^{2} + y^{2} - 32 x - 16 y = - 16

Rewrite

8 x^{2} + y^{2} - 32 x - 16 y = - 16

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 8 ) ^{2}}{( 4 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 8), a = 10, b = 45

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 8), b = 45, a = 10

Graph

Beliebte Beispiele

(x^2)/(16)+(y^2)/(48)=1

\frac{x ^{2}}{16} + \frac{y ^{2}}{48} = 1

((x-2)^2)/9+((y-3)^2)/5 =1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{5} = 1

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

16 (x + 1)^{2} + y^{2} = 16

16x^2+9y^2-128x-90y+337=0

16 x^{2} + 9 y^{2} - 128 x - 90 y + 337 = 0

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