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Beliebt Geometry >

10x^2+4y^2=14

Lösung

10 x^{2} + 4 y^{2} = 14

Lösung

(h, k) = (0, 0), a = \frac{7}{5}, b = \frac{7}{2}

Schritte zur Lösung

10 x^{2} + 4 y^{2} = 14

Rewrite

10 x^{2} + 4 y^{2} = 14

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{7}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{7}{5}, b = \frac{7}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{7}{2}, a = \frac{7}{5}

Graph

Beliebte Beispiele

((x+6)^2)/(25)+((y+1)^2)/(16)=1

\frac{( x + 6 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{16} = 1

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

3x^2+3y^2+36y=0

3 x^{2} + 3 y^{2} + 36 y = 0

(x^2)/(49)+(y^2)/(48)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{48} = 1

3x^2+3y^2+24y=0

3 x^{2} + 3 y^{2} + 24 y = 0