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Beliebt Geometry >

4x^2+y^2=2y+3

Lösung

4 x^{2} + y^{2} = 2 y + 3

Lösung

(h, k) = (0, 1), a = 1, b = 2

Schritte zur Lösung

4 x^{2} + y^{2} = 2 y + 3

Rewrite

4 x^{2} + y^{2} = 2 y + 3

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} + \frac{( y - 1 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 1), a = 1, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 2, a = 1

Graph

Beliebte Beispiele

9 y^{2} + z^{2} = 16

(x^2)/(2.89^2)+(y^2)/(2.84^2)=1

\frac{x ^{2}}{2.8 9 ^{2}} + \frac{y ^{2}}{2.8 4 ^{2}} = 1

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

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

((y-(-2))/(x-3))((y-1)/(x-(-2)))=-6

(\frac{y - ( - 2 )}{x - 3}) (\frac{y - 1}{x - ( - 2 )}) = - 6

x^2+9y^2-14x+36y+49=0

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0