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Beliebt Geometry >

25x^2+16y^2+200x+64y+64=0

Lösung

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0

Rewrite

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

9x^{(2)}+16y^{(2)}-54x+64y+1=0

9 x^{(2)} + 16 y^{(2)} - 54 x + 64 y + 1 = 0

(2y)/(1-x^2-y^2)=1

\frac{2 y}{1 - x ^{2} - y ^{2}} = 1

- 2 x^{2} + 1 - y^{2} = 0

2x^2+3y^2+4x-6y-1=0

2 x^{2} + 3 y^{2} + 4 x - 6 y - 1 = 0

y^{2} = 100 - 25 x^{2}