Classify each conic section and write its equation. 49x^2 + 4y^2 - 294x + 245 = 0

conic-section

#1

Classify each conic section and write its equation. 49x^2 + 4y^2 - 294x + 245 = 0

Answer:

49x^2+4y^2-294x+245=0
49(x^2-6x+9)+4y^2=-245+441
49(x-3)^2+4y^2=196
(Divide both sides by 196)

((x-3)^2/4)+y^2/49=1
Ellipse