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Beliebt Geometry >

3x^2+7y^2=63

Lösung

3 x^{2} + 7 y^{2} = 63

Lösung

(h, k) = (0, 0), a = 21, b = 3

Schritte zur Lösung

3 x^{2} + 7 y^{2} = 63

Rewrite

3 x^{2} + 7 y^{2} = 63

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 21 ) ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 21, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 21, b = 3

Graph

Beliebte Beispiele

(x^2)/9+((y+5)^2)/(25)=1

\frac{x ^{2}}{9} + \frac{( y + 5 ) ^{2}}{25} = 1

(x^2)/(16)+(y^2)/(64)=1

\frac{x ^{2}}{16} + \frac{y ^{2}}{64} = 1

4x^2+3y^2-5x+2y+1=0

4 x^{2} + 3 y^{2} - 5 x + 2 y + 1 = 0

(x^2)/4+(y^2)/(10)=1

\frac{x ^{2}}{4} + \frac{y ^{2}}{10} = 1

4x^2+y^2+8x-10y+25=0

4 x^{2} + y^{2} + 8 x - 10 y + 25 = 0