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Beliebt Geometry >

4=4x^2+y^2+1

Lösung

4 = 4 x^{2} + y^{2} + 1

Lösung

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

Schritte zur Lösung

4 = 4 x^{2} + y^{2} + 1

Rewrite

4 - 4 x^{2} - y^{2} - 1 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = \frac{3}{2}

Graph

Beliebte Beispiele

((x+4)^2}{25}+\frac{(y-2)^2)/9 =1

\frac{( x + 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{9} = 1

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9 x^{2} + 16 y^{2} + 72 x = 0

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9(x-6)^2+64(y-4)^2=576

9 (x - 6)^{2} + 64 (y - 4)^{2} = 576