Question

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. 3x2 + 3y2 − 7x = 0

Answer 1

complete the square

Answer 2

Thats your hint

Answer 3

Yeah I did that, you get (x^2 -7/3x +49/36) + y^2 = 49/36

Answer 4

You need to put it in standard form

Answer 5

So you tell me what subtracts into -7/3x and multiplies into 49/36

Answer 6

No I don't.. It's a circle.

Answer 7

Yes, you do.

Answer 8

You're almost done.

Answer 9

Standard form of a circle is (x-h)^2 + (y-k)^2 = r^2

Answer 10

It's not that difficult

Answer 11

Exactly. You need to put the expressions with the x's in that same form

Answer 12

Yeah, so can you tell me what subtracts into 7/3 and multiplies into 49/36. Because it's obviously not Radical 7/3

Answer 13

Basically you're telling me you're having trouble finding the perfect square form of the expression.

Answer 14

basically I am telling you I don't know the Binomial expression. I have the polynomial quadratic, I just can't fathom any number that completes that into a binomial expression.

Answer 15

I can't fathom how you completed the square without figuring out what the binomial expression is. I'll finish it for you.

Answer 16

nvm got it.

Answer 17

Well, what is it then?

Answer 18

(x-7/6)^2 + y^2 = 49/36 so center is 7/6,0 radius is 7/6

Answer 19

That is correct.

Answer 20

I wonder what it was that was holding you back.

Answer 21

My brain fart probably.. and the fact I hate staring at fractions.

Answer 22

If I were you, I'd write the final form this way:

\[(x - \frac{7}{6})^2 + y^2 = (\frac{7}{6})^2\]

Answer 23

The professor wants it in r^2 format so I keep it in r^2

Answer 24

That is r^2 form

Answer 25

No I mean he wants it completely written out.,

Answer 26

It's not that big a deal anyway

Answer 27

If I were the instructor, either way would be fine with me.

Answer 28

Just as long as you know how to do it.

Answer 29

Well you aren't a raging asian.. so I am not going to fight with him you know?

Answer 30

Raging asian? I haven't seen one of those since a kid got smacked by the teacher.

Answer 31

http://www.youtube.com/watch?v=qZhHUugDu84

Answer 32

Thats what I feel he will do.. haha