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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

3x^2+8y^2+12x+48y+60=1

3 x^{2} + 8 y^{2} + 12 x + 48 y + 60 = 1

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

\frac{( x - 1 ) ^{2}}{4} + \frac{y ^{2}}{9} = 1

25x^{(2)}+16y^{(2)}=400

25 x^{(2)} + 16 y^{(2)} = 400

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

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

0.2x^2+2y^2+4x-8y-12=0

0.2 x^{2} + 2 y^{2} + 4 x - 8 y - 12 = 0