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Beliebt Geometry >

4x^2+25y^2-24x+250y+561=0

Lösung

4 x^{2} + 25 y^{2} - 24 x + 250 y + 561 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 25 y^{2} - 24 x + 250 y + 561 = 0

Rewrite

4 x^{2} + 25 y^{2} - 24 x + 250 y + 561 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

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

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

\frac{x ^{2}}{1} + \frac{y ^{2}}{9} = 1

((x-5)^2)/9+((y-3)^2)/4 =1

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{4} = 1

x^{2} + 4 z^{2} = 16

5x^2+3y^2-40x-36y+158=0

5 x^{2} + 3 y^{2} - 40 x - 36 y + 158 = 0