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Beliebt Geometry >

4x^2+24x+25y^2+200y+336=0

Lösung

4 x^{2} + 24 x + 25 y^{2} + 200 y + 336 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 24 x + 25 y^{2} + 200 y + 336 = 0

Rewrite

4 x^{2} + 24 x + 25 y^{2} + 200 y + 336 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

7x^2+16y^2-14x-64y-41=0

7 x^{2} + 16 y^{2} - 14 x - 64 y - 41 = 0

4 y^{2} + 3 x^{2} = 48

4(x-1)^2+9(y-1)^2=36

4 (x - 1)^{2} + 9 (y - 1)^{2} = 36

9 y^{2} + 4 x^{2} = 36

50y^2+18x^2-200y+36x-232=0

50 y^{2} + 18 x^{2} - 200 y + 36 x - 232 = 0