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Beliebt Geometry >

5x^2+2y^2=45

Lösung

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

Lösung

(h, k) = (0, 0), a = 3, b = \frac{3 5}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = \frac{3 5}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{3 5}{2}, a = 3

Graph

Beliebte Beispiele

((x+3)^2)/(12)+((y-2)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{12} + \frac{( y - 2 ) ^{2}}{16} = 1

(x^2)/(81)+(y^2)/(100)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{100} = 1

25(x+1)^2+16(y-3)^2=400

25 (x + 1)^{2} + 16 (y - 3)^{2} = 400

9y^2+90y+4x^2-16x+205=0

9 y^{2} + 90 y + 4 x^{2} - 16 x + 205 = 0

49x^2+81y^2=3969

49 x^{2} + 81 y^{2} = 3969