How do you solve the quadratic y^2+2y+1=0 using any method? Precalculus Linear and Quadratic Functions Completing the Square 1 Answer ali ergin Aug 11, 2016 y=-1 Explanation: y^2+2y+1=0 "Solution -1" y^2+2y+1=(y+1)^2 (y+1)^2=0 y=-1 "Solution-2" Delta=sqrt(4-4*1*1)=0 y_("1,2")=(-b±Delta)/(2*a) "So "Delta =0 " There is one root" y=(-2±0)/(2*1) y=-1 Answer link Related questions What does completing the square mean? How do I complete the square? Does completing the square always work? Is completing the square always the best method? Do I need to complete the square if f(x) = x^2 - 6x + 9? How do I complete the square if f(x) = x^2 + 4x - 9? How do I complete the square if the coefficient of x^2 is not 1? How do I complete the square if f(x) = 3x^2 + 12x - 9? If I know the quadratic formula, why must I also know how to complete the square? How do I use completing the square to describe the graph of f(x)=30-12x-x^2? See all questions in Completing the Square Impact of this question 11137 views around the world You can reuse this answer Creative Commons License