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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 1, 0), a = 1, b = \frac{1}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 0), a = 1, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 0), a = 1, b = \frac{1}{2}

Graph

Beliebte Beispiele

(x^2}{2sqrt(5)}+\frac{36-12y+y^2)/6 =1

\frac{x ^{2}}{2 5} + \frac{36 - 12 y + y ^{2}}{6} = 1

49x^2+100y^2+882x-1400y+3969=0

49 x^{2} + 100 y^{2} + 882 x - 1400 y + 3969 = 0

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

x^{2} + 4 y^{2} = 64

12 x^{2} + 8 y^{2} = 96