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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, 1), a = 22, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 1), a = 22, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 1), a = 22, b = 2

Graph

Beliebte Beispiele

4x^2+25y^2+549=72x+250y

4 x^{2} + 25 y^{2} + 549 = 72 x + 250 y

y^{2} = 16 - 6 x^{2}

x^{2} + 9 y^{2} = 144

12x^2-22x+16y^2=9

12 x^{2} - 22 x + 16 y^{2} = 9

9x^2+36y^2+54x-288y+333=0

9 x^{2} + 36 y^{2} + 54 x - 288 y + 333 = 0