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Beliebt Geometry >

5x^2+9y^2=45

Lösung

5 x^{2} + 9 y^{2} = 45

Lösung

(h, k) = (0, 0), a = 3, b = 5

Schritte zur Lösung

5 x^{2} + 9 y^{2} = 45

Rewrite

5 x^{2} + 9 y^{2} = 45

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 5

Graph

Beliebte Beispiele

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

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

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

9x^2+4y^2+18x-16y-11=0

9 x^{2} + 4 y^{2} + 18 x - 16 y - 11 = 0

3x^2+2y^2-12x+8y+19=0

3 x^{2} + 2 y^{2} - 12 x + 8 y + 19 = 0

((x+5)^2)/(16)+((y-3)^2)/(25)=1

\frac{( x + 5 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{25} = 1