Question

Find a Cartesian equation for the curve given by the polar equation: r+6cos(theta)=0

Answer 1

\[r ^{2}+6r \cos \theta = 0\]

Answer 2

\[x ^{2}+y ^{2}+6x=0\]

Answer 3

it says the answer is (x+3)^2 + Y^2 = 9

can you take me through the process?

Answer 4

After my previous work is done, this should be obvious

Answer 5

DO you know a process called " Completing the Square "
Your teacher should have taught you that

Answer 6

plus 9 on BOTH sides.
x^2+y^2+6x+9=9

Answer 7

notice that x^2+6x+9 is just x+3)^2,
so (x+3)^2+y^2=9
but your teacher should accept my answer

Answer 8

@mlimsiaco12