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Beliebt Geometry >

25x^2+9y^2-150x-36y+36=0

Lösung

25 x^{2} + 9 y^{2} - 150 x - 36 y + 36 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} + 9 y^{2} - 150 x - 36 y + 36 = 0

Rewrite

25 x^{2} + 9 y^{2} - 150 x - 36 y + 36 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

100y^2+64x^2=6400

100 y^{2} + 64 x^{2} = 6400

6.25x^2+16y^2-1.25x+64y-29.75=0

6.25 x^{2} + 16 y^{2} - 1.25 x + 64 y - 29.75 = 0

((x-1)^2)/4+((y-5)^2)/(25)=1

\frac{( x - 1 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{25} = 1

16x^2+25y^2-128x+100y=0

16 x^{2} + 25 y^{2} - 128 x + 100 y = 0

(((x+0)^2))/(40)+(((y+0)^2))/(32)=1

\frac{( ( x + 0 ) ^{2} )}{40} + \frac{( ( y + 0 ) ^{2} )}{32} = 1