Question #90b3f

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Answer 1 · 2017-02-27T21:22:49

#y = pm sqrt(25 - 10x) #

Assuming you mean:

#r = 5/(1 + cos theta)#

Then we know the following:

#x = r cos theta implies cos theta = x/r#
#y = r sin theta#
#r = sqrt(x^2 +y^2)#

So we pick 'n' mix:

#sqrt(x^2 +y^2) = 5/(1 + x/sqrt(x^2 +y^2) )#

Cross - multiply:

#sqrt(x^2 +y^2) + x = 5#

#sqrt(x^2 +y^2) = 5 - x#

#x^2 +y^2 = (5 - x)^2#

#y^2 = (5 - x)^2 - x^2#

#y = pm sqrt(25 - 10x) #