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Beliebt Geometry >

9x^2+25y^2-144x+200y+751=0

Lösung

9 x^{2} + 25 y^{2} - 144 x + 200 y + 751 = 0

Lösung

(h, k) = (8, - 4), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 144 x + 200 y + 751 = 0

Rewrite

9 x^{2} + 25 y^{2} - 144 x + 200 y + 751 = 0

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{5 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, - 4), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (8, - 4), a = 5, b = 3

Graph

Beliebte Beispiele

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3x^2+4y^2+24x-16y+52=0

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