Question

5x2 + 5y2 − 20x + 30y + 40 = 0
How do I get the simplified form?

( r = ? )

Answer 1

@Hero

Answer 2

Looks like you need to convert that to the form \(x^2 + y^2 = r^2\). First start by dividing both sides by 5. Let me know what you get.

Answer 3

How do I do that? Math is my worst subject..

Answer 4

Simply divide each term by 5 on both sides.

Answer 5

Both sides? What do you mean both sides? Please give an example??

Answer 6

What I mean is, Divide by 5 on Both sides of the EQUAL sign.

Answer 7

On the left side of the equation remember that \(\dfrac{a + b}{c} = \dfrac{a}{b} + \dfrac{b}{c}\)

For example, suppose you have \(6a + 3b\) and need to divide both terms by 3. Perform the following steps:

\(\dfrac{6a + 3b}{3} = \dfrac{6a}{3} + \dfrac{3b}{3}\)

Doing so results in
\(2a + b\)

Answer 8

@BeautifulAngel Still lost?

Answer 9

Okay, now that you're back can we please finish?

Answer 10

Yes, of course. Let me do this dividing real quick

Answer 11

x^2+y^2-4x+6y+8=0
???

Answer 12

Correct so far.

Answer 13

Now you just have to do that trick I showed you earlier.

Answer 14

What trick?

Answer 15

See your previous question

Answer 16

I looked, but I can't figure out how to set it up.. >.< ugggh!!!!!!!!!!!!! I'm so freaking dumb, I'm going to fail this class

Answer 17

Do I divide -4 and 6 by 2 and replace x with the answer?

Answer 18

Oh, sorry. I hope you're still here. I had to deal with something very important.