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Beliebt Geometry >

25x^2+4y^2-50x+40y=-25

Lösung

25 x^{2} + 4 y^{2} - 50 x + 40 y = - 25

Lösung

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

Schritte zur Lösung

25 x^{2} + 4 y^{2} - 50 x + 40 y = - 25

Rewrite

25 x^{2} + 4 y^{2} - 50 x + 40 y = - 25

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

36x^2+64y^2+180x-256y-95=0

36 x^{2} + 64 y^{2} + 180 x - 256 y - 95 = 0

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

9 x^{2} + 26 y^{2} = 60

8x^2+9y^2-16x-54y+17=0

8 x^{2} + 9 y^{2} - 16 x - 54 y + 17 = 0

((x+3)^2)/(21)+((y-2)^2)/(49)=1

\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 2 ) ^{2}}{49} = 1