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Beliebt Geometry >

25x^2+64y^2-400x-640y+1600=0

Lösung

25 x^{2} + 64 y^{2} - 400 x - 640 y + 1600 = 0

Lösung

(h, k) = (8, 5), a = 8, b = 5

Schritte zur Lösung

25 x^{2} + 64 y^{2} - 400 x - 640 y + 1600 = 0

Rewrite

25 x^{2} + 64 y^{2} - 400 x - 640 y + 1600 = 0

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{8 ^{2}} + \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, 5), a = 8, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (8, 5), a = 8, b = 5

Graph

Beliebte Beispiele

y^{2} = - 6 x^{2} + 4

16x^2+16y^2=4y^2+20y+25

16 x^{2} + 16 y^{2} = 4 y^{2} + 20 y + 25

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

4x^2+8y^2-8x+48y+44=0

4 x^{2} + 8 y^{2} - 8 x + 48 y + 44 = 0

(((x-5)^2))/9+(((y-4)^2))/(36)=1

\frac{( ( x - 5 ) ^{2} )}{9} + \frac{( ( y - 4 ) ^{2} )}{36} = 1