Question

Given that the equation x2 - 10x + y2 + 8y = -5 is a circle, what would be the next step in completing the square so that the equation is in general form?

A. Add 25 and 16 to both sides

B. Add 5 to both sides

C. Subtract x2 - 10 x from both sides

D. Take the square root of both sides.

Answer 1

If you have x^2-10x what do you have to add so that you have a trinomial square?

Answer 2

idk

Answer 3

Take half of the 10 and square it. That would give you x^2-10x+25 which can be factored (x-5)^2
Now move on to the y^2+8y. What would you add to it to make a trinomial square?

Answer 4

im guessing the same thing,take half of 8 and square it??

Answer 5

yes

Answer 6

so the answer would be D or A

Answer 7

Notice that the problem says "what would be the NEXT step in completing the square."
We just did the next step. What did we do?

Answer 8

A

Answer 9

Very good.

Answer 10

thanks

Answer 11

yw