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Beliebt Geometry >

x^2-2x+2y^2-8y+7=0

Lösung

x^{2} - 2 x + 2 y^{2} - 8 y + 7 = 0

Lösung

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

Schritte zur Lösung

x^{2} - 2 x + 2 y^{2} - 8 y + 7 = 0

Rewrite

x^{2} - 2 x + 2 y^{2} - 8 y + 7 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

25x^2+9y^2-150x-36y=-36

25 x^{2} + 9 y^{2} - 150 x - 36 y = - 36

((x-23)^2)/(841)+((y+28)^2)/(484)=1

\frac{( x - 23 ) ^{2}}{841} + \frac{( y + 28 ) ^{2}}{484} = 1

3x^2-12x+2y^2+8y+14=0

3 x^{2} - 12 x + 2 y^{2} + 8 y + 14 = 0

(x-7)^2+6y^2+12y=0

(x - 7)^{2} + 6 y^{2} + 12 y = 0

((x+2)/4)^2+((y-3)/(16))^2=1

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1