Question

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit.

x2 + 4x + y2 − 6y = −4

Answer 1

@Oddmoyu123 pls help

Answer 2

can i get a pic of your square

Answer 3

if so i can help

Answer 4

I would combine like terms first, then I would separate the x and y from the same side

Answer 5

Sorry there is no image, that's all the info that the question gives

Answer 6

@MrMudd183 what are the like terms that I can combine?

Answer 7

X and Y

Answer 8

x^2 + y^2 and 4x-6y?

Answer 9

??

Answer 10

@MrMudd183 ??

Answer 11

Separate the like terms, yes

Keep the 4 on the other side

\(\color{green}{(x^2+4x+\_\_)}+\color{red}{(y^2-6y+\_\_)}=4\)
You can complete the square from then

First complete the square for the x
Then complete the square for the y

Treat them like separate equations with different variables

Answer 12

@dude I don't exactly understand how to solve that, can you explain it to me please?

Answer 13

Knowing that quadratic equations are written as \(ax^2+bx+c\)

Use \(\dfrac{b}{2}^2\)


\((x^2+4x+\_\_)\)
=\((\dfrac{4}{2})^2=> 4\)

Therefore,
\((x^2+4x+4)+\color{red}{(y^2-6y+\_\_)}=4+4\) [Remember to add it on both sides]


Do the same for the y value

Answer 14

i should read these things all the way before i type