Question

Which perfect square equation represents x^2+4x+1=0 by completing the square?

A . (x+2)^2=3
B. (x+4)^2=-3
C. (x+2)^2=-1
D. (X+2)^2=5

Answer 1

First thing to do is to move the constant over to the other side of the equals sign. Then we will complete the square on the x terms. We will take half the linear term, square it, then add it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4.
`x^2+4x+4=-1+4`. In the process of completing the square we have created a perfect square binomial on the left which is
`(x+2)^2=3`. A is our answer.