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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

(x^2)/(7^2)+(y^2)/(3^2)=1

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

16x^2+25y^2-64x+150y=-279

16 x^{2} + 25 y^{2} - 64 x + 150 y = - 279

4x^2+y^2-40x+4y+68=0

4 x^{2} + y^{2} - 40 x + 4 y + 68 = 0

x^2+3y^2+10x+9y-20=0

x^{2} + 3 y^{2} + 10 x + 9 y - 20 = 0

((x+1)^2)/(32)+((y+5)^2)/(36)=1

\frac{( x + 1 ) ^{2}}{32} + \frac{( y + 5 ) ^{2}}{36} = 1