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Beliebt Geometry >

36x^2+17y^2-648x+238y+689=0

Lösung

36 x^{2} + 17 y^{2} - 648 x + 238 y + 689 = 0

Lösung

(h, k) = (9, - 7), a = 85, b = 65

Schritte zur Lösung

36 x^{2} + 17 y^{2} - 648 x + 238 y + 689 = 0

Rewrite

36 x^{2} + 17 y^{2} - 648 x + 238 y + 689 = 0

in the form of the standard ellipse equation

\frac{( x - 9 ) ^{2}}{( 85 ) ^{2}} + \frac{( y - ( - 7 ) ) ^{2}}{( 6 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (9, - 7), a = 85, b = 65

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (9, - 7), b = 65, a = 85

Graph

Beliebte Beispiele

25x^2+16y^2-200x-160y+400=0

25 x^{2} + 16 y^{2} - 200 x - 160 y + 400 = 0

(x^2)/(64)+((y-6)^2)/(121)=1

\frac{x ^{2}}{64} + \frac{( y - 6 ) ^{2}}{121} = 1

(x^2)/(49)+(y^2)/(40)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{40} = 1

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

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

100x^2+64y^2-100x-1575=0

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0