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Beliebt Geometry >

4x^2+y^2=9

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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-2)^2)/4+((y+5)^2)/9 =1

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 5 ) ^{2}}{9} = 1

2x^2+3y^2+12x-24y+60=0

2 x^{2} + 3 y^{2} + 12 x - 24 y + 60 = 0

(x^2)/4+((y-1)^2)/9 <1

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

4x^2+25y^2-24x+250y+561=0

4 x^{2} + 25 y^{2} - 24 x + 250 y + 561 = 0

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