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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 2, 4), a = 5, b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 4), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 4), a = 5, b = 3

Graph

Beliebte Beispiele

8 x^{2} + y^{2} + 4 y = 0

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

4 x^{2} + 6 y^{2} - 8 x + 4 y - 6 \geq 0

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

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

(x-3)^2+16(y-2)^2=16

(x - 3)^{2} + 16 (y - 2)^{2} = 16

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

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