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Beliebt Geometry >

25x^2+4y^2-200x+24y+376=0

Lösung

25 x^{2} + 4 y^{2} - 200 x + 24 y + 376 = 0

Lösung

(h, k) = (4, - 3), a = \frac{2 3}{5}, b = 15

Schritte zur Lösung

25 x^{2} + 4 y^{2} - 200 x + 24 y + 376 = 0

Rewrite

25 x^{2} + 4 y^{2} - 200 x + 24 y + 376 = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{( \frac{2 3}{5} ) ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{( 15 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, - 3), a = \frac{2 3}{5}, b = 15

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, - 3), b = 15, a = \frac{2 3}{5}

Graph

Beliebte Beispiele

((x+2)^2)/9+((y+3)^2)/(25)=1

\frac{( x + 2 ) ^{2}}{9} + \frac{( y + 3 ) ^{2}}{25} = 1

((x-1)^2)/4+((y+3)^2)/(16)=1

\frac{( x - 1 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

((x-3)^2)/9+((y-6)^2)/(16)=1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 6 ) ^{2}}{16} = 1

5x^2+20y^2-25x-10y=5

5 x^{2} + 20 y^{2} - 25 x - 10 y = 5

2x^2+5y^2+8x-10y-27=0

2 x^{2} + 5 y^{2} + 8 x - 10 y - 27 = 0