Question

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit.
x2 + 4x + y2 - 6y = -4 (8 points)

Answer 1

Can someone please help me

Answer 2

\(\LARGE\color{black}{ \bf x^2 + 4x + y^2 - 6y = -4}\)

\(\LARGE\color{black}{ \bf x^2 + 4x\color{red} { +4 } + y^2 - 6y\color{blue} { +9 } = -4\color{red} { +4}\color{blue} { +9 } }\)

Answer 3

Can you finish the problem off, knowing that the equation of the circle looks like,

\(\LARGE\color{black}{ \bf (x-h)^2+(y-k)^2=r^2}\)

Answer 4

Where (h,k) is the center, and r is the radius.

Answer 5

I am giving one more hint.

\(\LARGE\color{red}{ \bf x^2+4x+4}\) and \(\LARGE\color{blue}{ \bf y^2-6y+9}\) are both perfect squares.

Answer 6

*trinomials

Answer 7

I think i have the center correct but im a little confused on finding the radius @SolomonZelman @acxbox22

Answer 8

Oh never mind i got it now