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Beliebt Geometry >

25x^2+16y^2+50x-64y-311=0

Lösung

25 x^{2} + 16 y^{2} + 50 x - 64 y - 311 = 0

Lösung

(h, k) = (- 1, 2), a = 4, b = 5

Schritte zur Lösung

25 x^{2} + 16 y^{2} + 50 x - 64 y - 311 = 0

Rewrite

25 x^{2} + 16 y^{2} + 50 x - 64 y - 311 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 2), b = 5, a = 4

Graph

Beliebte Beispiele

16x^2+25y^2-64x-50y-311=0

16 x^{2} + 25 y^{2} - 64 x - 50 y - 311 = 0

x^2+2y^2-8x+8y=20

x^{2} + 2 y^{2} - 8 x + 8 y = 20

3x^2+3y^2-12y=0

3 x^{2} + 3 y^{2} - 12 y = 0

4 x^{2} + 49 y^{2} = 196

x^2+8(y+5)^2=20

x^{2} + 8 (y + 5)^{2} = 20