Would someone mind helping me to understand how to find the answer to this problem? Thank you!
r = 5 / [ 1 + cos θ]
Note : r = √ [ x^2 + y^2] and cos θ = x / r
So we have
r = 5 / [ 1 + x/r ]
r [ 1 + x / r] = 5
r + x = 5
√ [ x^2 + y^2] + x = 5 subtract x from both sides
√ [ x^2 + y^2] = 5 - x square both sides
x^2 + y^2 = 25 - 10x + x^2 subtract x^2 from both sides
y^2 = 25 - 10x