Identify coefficients: Identify the coefficients a, b, and c from the quadratic equationr2+4r+4=0 by comparing it to the standard form ax2+bx+c=0. Here, a=1, b=4, and c=4.
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values into formula: Substitute the identified values of a, b, and c into the discriminant formula.D=(4)2−4×1×4
Perform calculations: Perform the calculations to find the value of the discriminant.D=16−4×4D=16−16D=0