Question

Find the center and radius of the circle: 49x^(2) + 49y^(2) +14x + 98y - 48 = 0

Answer 1

1. Add 48 to both sides.
2. Group Like terms
3. Complete the Square
4. Simplify
5. Re-write in Equation of A Circle Format

Answer 2

Wait - do I subtract or add 48 from both sides? I figured I'd add them since it is a negative...?

Answer 3

I changed that first step ;)

Answer 4

Haha, thanks!

Answer 5

And what exactly do you mean by grouping like terms for this equation? so far I have: 49x^2 + 49y^(2) +14x +98y = 48 ...idk am i being ridiculous because that feels like it can't be grouped ><

Answer 6

Grouping means group the x's together and group the y's togther. You will have to complete the square for each group.

Answer 7

Before you complete the square it will look something like this:

\[(49x^2 + 14x) + (49y^2 + 98y) = 48\]