Identify values: Identify the values of a, b, and c by comparing the given equation u2+4u−4=0 with the standard quadratic equation form ax2+bx+c=0. Here, a=1, b=4, and c=−4.
Calculate discriminant: Use the discriminant formula D=b2−4ac to calculate the discriminant of the quadratic equation.Substitute 1 for a, 4 for b, and −4 for c into the formula.D=(4)2−4×1×(−4)
Perform calculations: Perform the calculations to find the value of the discriminant.D=16−4×1×(−4)D=16+16D=32