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Beliebt Geometry >

16x^2+25y^2-64x+150y-111=0

Lösung

16 x^{2} + 25 y^{2} - 64 x + 150 y - 111 = 0

Lösung

(h, k) = (2, - 3), a = 5, b = 4

Schritte zur Lösung

16 x^{2} + 25 y^{2} - 64 x + 150 y - 111 = 0

Rewrite

16 x^{2} + 25 y^{2} - 64 x + 150 y - 111 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{5 ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 3), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 3), a = 5, b = 4

Graph

Beliebte Beispiele

25x^2+9y^2-225=0

25 x^{2} + 9 y^{2} - 225 = 0

3 x^{2} + y^{2} = 9

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

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

4 x^{2} + 9 y^{2} = 144

(x^2)/(36)+(y^2)/(100)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{100} = 1