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i added a file with the curve the is being asked to find

an ellipse is given. its formula is x^2 + 2*y^2=8 .

find the formula of the curve that is being created by the

the centers of the perpendicular lines to the X axes and the ellipse.

i tried to solve this question

by putting the Y^2 on the one side and on the other the rest

and devidind it by 2 .

2y^2=8-x^2

y^2=8-x^2/2

y=V(8-x^2/2)

(v=root simbol)

the curve that in the center always smaller in height by 2

so i devided the formula by 2 to find our curve

y=1/2*V(8-x^2/2)

in my book it gives a different answer

(x^2)/8 +y^2=1

plz help

an ellipse is given. its formula is x^2 + 2*y^2=8 .

find the formula of the curve that is being created by the

the centers of the perpendicular lines to the X axes and the ellipse.

i tried to solve this question

by putting the Y^2 on the one side and on the other the rest

and devidind it by 2 .

2y^2=8-x^2

y^2=8-x^2/2

y=V(8-x^2/2)

(v=root simbol)

the curve that in the center always smaller in height by 2

so i devided the formula by 2 to find our curve

y=1/2*V(8-x^2/2)

in my book it gives a different answer

(x^2)/8 +y^2=1

plz help