Question

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.
x2 + y2 + 4y + 2 = 0

Answer 1

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.
x2 + y2 + 4y + 2 = 0

Answer 2

can u helpme

Answer 3

@Directrix are you good with circles?

Answer 4

noup

Answer 5

help mee

Answer 6

sir

Answer 7

helloo

Answer 8

@Shaks
I'm hoping you understand the process of completing the square. We'll need that to get x2 + y2 + 4y + 2 = 0 into the standard form of the equation of a circle.

That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle. Check out the attachment.

Answer 9

is that the asnwer

Answer 10

No. Focus on the process, not the answer.

Answer 11

yeaa

Answer 12

getting it kind it

Answer 13

of

Answer 14

The center is (0,-2)

Answer 15

So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 0 + 4

(x + 0) ^2 + (y + 2) ^2 = 4 ---> Your Circle

Now, look at the standard form for the circle equation, compare it to the equation, and pick out the coordinates of the center and the value of the radius.

Post what you get, and I'll check. @Shaks

Answer 16

r = ?

Answer 17

x^2+(y+2)^2=3 is this the standerd form

Answer 18

r= -2

Answer 19

hello

Answer 20

are u there

Answer 21

r= -2 --> Incorrect

Answer 22

then how to solve it

Answer 23

Look at standard form for circle equation:

That standard form is (x - h) ^2 + (y - k) ^2 = r^2 where (h,k) are the coordinates of the center of the circle and r is the radius of the circle.

What positive number times itself = 4? That's your r.

Answer 24

2 is r

Answer 25

Correct.

Answer 26

got it

Answer 27

noo r is not 2

Answer 28

is it 4

Answer 29

@Shaks I messed up by dropping the 2.

So, x^2 + y^2 + 4y + 2 = 0 can be written as x^2 + y^2 + 4y + __4_ = 2 + 4 = 6.
r^2 = 6 and r is square root of 6.

Answer 30

is it 6

Answer 31

2.44

Answer 32

6 = r^2. We want r which is square root of 3.

Answer 33

hmm

Answer 34

trying to understand

Answer 35

1.7

Answer 36

did not get it it too doficult

Answer 37

difficult

Answer 38

You approximated square root of 3 to get 1.7.
I stick with exact form but I don't know what your options are.

Answer 39

yaa i got it

Answer 40

Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)

x + 42
= x

Answer 41

now 1 more sum