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Beliebt Geometry >

9x^2+6y^2=54

Lösung

9 x^{2} + 6 y^{2} = 54

Lösung

(h, k) = (0, 0), a = 6, b = 3

Schritte zur Lösung

9 x^{2} + 6 y^{2} = 54

Rewrite

9 x^{2} + 6 y^{2} = 54

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, 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 = 6

Graph

Beliebte Beispiele

x^2+9y^2-2x-72y+136=0

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

(x^2)/(100)+(y^2)/(25)=16

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

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

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

25xx+9yy-18y-216=0

25 xx + 9 yy - 18 y - 216 = 0

2 x^{2} + 5 y^{2} = 14