Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions


You first need to learn how to complete the square or to factor.
For example,
1. x²+y²+4x-2y+1 = 0
Firstly, you need to arrange. Then, move the real whole number to the other side.
x²+4x+y²-2y = -1
Then, complete the square.
x²+4x+4 + y²-2y+1 = -1
We got 4 from the 4 in 4x in order to get the formula ax²+bx+c and we can find the c from b.
4÷2=2²= 4
Same with y²-2y+1.
Now, when we added 4 and 1 from the left side, let's also add 4 and 1 to the right side.
x²+4x+4 + y²-2y+1 = -1+4+1
Lastly, let's factor to get the center and the radius.
Factor: (x+4)²
Factor: (y-1)²

x²+4x+4 + y²-2y+1 = -1+4+1
the center is (-4,1)
the radius is √4 or 2.
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts