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Beliebt Geometry >

y^2=9-4x^2

Lösung

y^{2} = 9 - 4 x^{2}

Lösung

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

Schritte zur Lösung

y^{2} = 9 - 4 x^{2}

Rewrite

y^{2} = 9 - 4 x^{2}

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

25x^2+16y^2-150x+64y=111

25 x^{2} + 16 y^{2} - 150 x + 64 y = 111

(x^2)/(3^2)+(y^2)/(7^2)=1

\frac{x ^{2}}{3 ^{2}} + \frac{y ^{2}}{7 ^{2}} = 1

((x-5)^2)/4+((y+2)^2)/2 =1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{2} = 1

6x^2+144y^2=864

6 x^{2} + 144 y^{2} = 864

81 x^{2} + 9 y^{2} = 64