Respuesta :

[tex]cos(\theta) = x/\sqrt{x^2+y^2} = x/r, and r = \sqrt{ x^2+y^2} so

r = 3 - x/r ==> r^2 + 3r + x = 0,
[\tex]
r = solutions of quadratic and finally
[tex]
r = \sqrt{ x^2+y^2} = solutions,
[\tex]

you could eventually write y(x)! Not sure you're still looking at this question though! ?:)

The  rectangular coordinates is x²+ x + y² - 3√x² + y² =0

What is Polar equation?

Polar coordinates are a complementary system to Cartesian coordinates, which are located by moving across an x-axis and up and down the y-axis in a rectangular fashion. While Cartesian coordinates are written as (x,y), polar coordinates are written as (r,θ).

In polar coordinates, a point in the plane is determined by its distance r from the origin and the angle theta (in radians) between the line from the origin to the point and the x-axis

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction

Given:

r = 3 − cos θ

as, the standard form:

x=r cos(θ)

So, r= 3- x/r

r² + 3r + x=0

We know: r= √ x² + y²

So, the rectangular coordinates is x²+ x + y² - 3√x² + y² =0

Learn more about this concept here:

https://brainly.com/question/4308638

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