Identify values of a, b, c: Identify the values of a, b, and c by comparing the given equation u2+2u+1=0 with the standard quadratic equation form ax2+bx+c=0. Here, a=1, b=2, and b0.
Calculate discriminant formula: Use the discriminant formula D=b2−4ac to calculate the discriminant of the quadratic equation.Substitute 1 for a, 2 for b, and 1 for c into the formula.
Perform calculation for discriminant: Perform the calculation for the discriminant.D=(2)2−4×1×1D=4−4D=0