Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

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. 2÷2=12=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. x²+4x+4 Factor: (x+4)² y²-2y+1 Factor: (y-1)²

x²+4x+4 + y²-2y+1 = -1+4+1 (x+4)²+(y-1)²=4 the center is (-4,1) the radius is √4 or 2.