# How do you graph the system of polar equations to solve #r=1+costheta# and #r=1-costheta#?

##### 1 Answer

Nov 14, 2016

graph{x^2+y^2-sqrt(x^2+y^2)-x=0 [-10, 10, -5, 5]} Common points are at

graph{(x^2+y^2+x)^2-x^2-y^2=0 [-10, 10, -5, 5]}

#### Explanation:

Using the cartesian equivalents

for

are symmetrically opposite, about the y-axis .

By this symmetry, the two meet on the vertical axis, given in

halves, by

Algebraically adding and subtracting