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Beliebt Geometry >

5x^2+2y^2=50

Lösung

5 x^{2} + 2 y^{2} = 50

Lösung

(h, k) = (0, 0), a = 10, b = 5

Schritte zur Lösung

5 x^{2} + 2 y^{2} = 50

Rewrite

5 x^{2} + 2 y^{2} = 50

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 10

Graph

Beliebte Beispiele

4x^2+9y^2-16x+36y+16=0

4 x^{2} + 9 y^{2} - 16 x + 36 y + 16 = 0

5 x^{2} + 2 y^{2} = 10

3x^2+6y^2-4x+6y-3>= 0

3 x^{2} + 6 y^{2} - 4 x + 6 y - 3 \geq 0

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

((x-3)^2)/9+((y-2)^2)/4 =1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1