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Beliebt Geometry >

9x^{(2)}+25y^{(2)}+18x+150y+9=0

Lösung

9 x^{(2)} + 25 y^{(2)} + 18 x + 150 y + 9 = 0

Lösung

(h, k) = (- 1, - 3), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 25 y^{2} + 18 x + 150 y + 9 = 0

Rewrite

9 x^{2} + 25 y^{2} + 18 x + 150 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, - 3), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, - 3), a = 5, b = 3

Graph

Beliebte Beispiele

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

9x^2+25y^2+36x-200y+211=0

4x^2+6y^2-8x+4y-6>= 0

25x^2+4y^2+200x-8y+304=0