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Beliebt Geometry >

4x^2+y^2-8x+6y+1=0

Lösung

4 x^{2} + y^{2} - 8 x + 6 y + 1 = 0

Lösung

(h, k) = (1, - 3), a = 3, b = 23

Schritte zur Lösung

4 x^{2} + y^{2} - 8 x + 6 y + 1 = 0

Rewrite

4 x^{2} + y^{2} - 8 x + 6 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 3), a = 3, b = 23

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, - 3), b = 23, a = 3

Graph

Beliebte Beispiele

9x^2+y^2-54x-8y+88=0

9 x^{2} + y^{2} - 54 x - 8 y + 88 = 0

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

36x^2+25y^2=3600

36 x^{2} + 25 y^{2} = 3600

2(x+4)^2+(y+2)^2=8

2 (x + 4)^{2} + (y + 2)^{2} = 8

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

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