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Beliebt Geometry >

9x^2-54x+25y^2-200y=-256

Lösung

9 x^{2} - 54 x + 25 y^{2} - 200 y = - 256

Lösung

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

Schritte zur Lösung

9 x^{2} - 54 x + 25 y^{2} - 200 y = - 256

Rewrite

9 x^{2} - 54 x + 25 y^{2} - 200 y = - 256

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

y^{2} = 2 x

vertexparabola y=x^2-24x-12

v er t e x p a r ab o l a y = x^{2} - 24 x - 12

foki (x^2}{16}-\frac{y^2)/9 =1

f oc i \frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

x^2-12x+16y+68=0

x^{2} - 12 x + 16 y + 68 = 0

10x^2+4y^2+2x+16y=144

10 x^{2} + 4 y^{2} + 2 x + 16 y = 144