Identify values: Identify the values of a, b, and c by comparing the given equation r2+2r+1=0 with the standard quadratic equation form ax2+bx+c=0. Here, a=1, b=2, and c=1.
Use discriminant formula: Use the discriminant formula D=b2−4ac to find the discriminant of the quadratic equation.Substitute 1 for a, 2 for b, and 1 for c in the formula.D=(2)2−4×1×1
Calculate discriminant: Calculate the discriminant.D=4−4×1×1D=4−4D=0