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Beliebt Geometry >

x^2+2y^2+4x-8y-6=0

Lösung

x^{2} + 2 y^{2} + 4 x - 8 y - 6 = 0

Lösung

(h, k) = (- 2, 2), a = 32, b = 3

Schritte zur Lösung

x^{2} + 2 y^{2} + 4 x - 8 y - 6 = 0

Rewrite

x^{2} + 2 y^{2} + 4 x - 8 y - 6 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 2), a = 32, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 2), a = 32, b = 3

Graph

Beliebte Beispiele

8 x^{2} + 2 y^{2} - 32 = 0

16x^2+25y^2-96x-250y+369=0

16 x^{2} + 25 y^{2} - 96 x - 250 y + 369 = 0

78=32(x-3/2)^2+50(y+1)^2

78 = 32 (x - \frac{3}{2})^{2} + 50 (y + 1)^{2}

x^2+2y^2-3x+8y-1=0

x^{2} + 2 y^{2} - 3 x + 8 y - 1 = 0

7 x^{2} = 35 - 5 y^{2}