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Beliebt Geometry >

16x^2+2y^2-64x+150y-11=0

Lösung

16 x^{2} + 2 y^{2} - 64 x + 150 y - 11 = 0

Lösung

(h, k) = (2, - \frac{75}{2}), a = \frac{5 231}{4 2}, b = \frac{5 231}{2}

Schritte zur Lösung

16 x^{2} + 2 y^{2} - 64 x + 150 y - 11 = 0

Rewrite

16 x^{2} + 2 y^{2} - 64 x + 150 y - 11 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( \frac{5 231}{4 2} ) ^{2}} + \frac{( y - ( - \frac{75}{2} ) ) ^{2}}{( \frac{5 231}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - \frac{75}{2}), a = \frac{5 231}{4 2}, b = \frac{5 231}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, - \frac{75}{2}), b = \frac{5 231}{2}, a = \frac{5 231}{4 2}

Graph

Beliebte Beispiele

25 x^{2} + 16 y^{2} = 1

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

(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