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Beliebt Geometry >

25x^2+9y^2-100x+18y-116=0

Lösung

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

Lösung

(h, k) = (2, - 1), a = 3, b = 5

Schritte zur Lösung

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

Rewrite

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), b = 5, a = 3

Graph

Beliebte Beispiele

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

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

leitkurve y^2=-36x

d i rec t r i x y^{2} = - 36 x

x^{2} + 4 y^{2} = 36

solvefor y,x^2-6x+9-4y^2=0

so l v e f or y, x^{2} - 6 x + 9 - 4 y^{2} = 0

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