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Beliebt Geometry >

(x^2)/4+(y^2)/9 =1(2)

Lösung

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

Lösung

(h, k) = (0, 0), a = 22, b = 32

Schritte zur Lösung

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

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 12

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 22, b = 32

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 32, a = 22

Graph

Beliebte Beispiele

16 x^{2} + 4 y^{2} = 49

4 x^{2} + 8 y^{2} - 16 = 0

17x^2+10y^2+102x+80y+143=0

17 x^{2} + 10 y^{2} + 102 x + 80 y + 143 = 0

(6p+5q)2=36p^2+25q^2

(6 p + 5 q) 2 = 36 p^{2} + 25 q^{2}

3x^2+54x+243+2y^2-6=0

3 x^{2} + 54 x + 243 + 2 y^{2} - 6 = 0