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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

25x^2+9y^2-18y-216=0

25 x^{2} + 9 y^{2} - 18 y - 216 = 0

(x^2)/(63500)+(y^2)/(50900)=1

\frac{x ^{2}}{63500} + \frac{y ^{2}}{50900} = 1

9x^2+16y^2-36x+96y+36=0

9 x^{2} + 16 y^{2} - 36 x + 96 y + 36 = 0

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

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