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Beliebt Geometry >

x^2+4y^2+20x-40y=-100

Lösung

x^{2} + 4 y^{2} + 20 x - 40 y = - 100

Lösung

(h, k) = (- 10, 5), a = 10, b = 5

Schritte zur Lösung

x^{2} + 4 y^{2} + 20 x - 40 y = - 100

Rewrite

x^{2} + 4 y^{2} + 20 x - 40 y = - 100

in the form of the standard ellipse equation

\frac{( x - ( - 10 ) ) ^{2}}{1 0 ^{2}} + \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 10, 5), a = 10, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 10, 5), a = 10, b = 5

Graph

Beliebte Beispiele

a^{2} + 2 b^{2} = 10

225x^2+576y^2=176400

225 x^{2} + 576 y^{2} = 176400

4x^2+6y^2+4x-24y=24

4 x^{2} + 6 y^{2} + 4 x - 24 y = 24

2 x^{2} + 4 y^{2} = 5

9 x^{2} + 4 y^{2} \leq 36