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Beliebt Geometry >

25x^2+4y^2+50x-16y-59=0

Lösung

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

Lösung

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

Schritte zur Lösung

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

Rewrite

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 2, 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 = 2

Graph

Beliebte Beispiele

2 x^{2} + 9 y^{2} = 1

16-4x^{(2)}-y^{(2)}>= 0

16 - 4 x^{(2)} - y^{(2)} \geq 0

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

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} < 1

(x-2)^2+(2y+3)^2=26

(x - 2)^{2} + (2 y + 3)^{2} = 26

9x^2+18x+16y^2-64y-71=0

9 x^{2} + 18 x + 16 y^{2} - 64 y - 71 = 0