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Beliebt Geometry >

x^2+4y^2-10x-40y+109=0

Lösung

x^{2} + 4 y^{2} - 10 x - 40 y + 109 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 4 y^{2} - 10 x - 40 y + 109 = 0

Rewrite

x^{2} + 4 y^{2} - 10 x - 40 y + 109 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^{2} + y^{2} - 8 y = 0

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

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

4x^2+9y^2-8x-36y+4=0

4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

4x^2-16x+y^2+2y=-1

4 x^{2} - 16 x + y^{2} + 2 y = - 1

3 x^{2} + y^{2} = 84