Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form ax2+bx+c=0. For the equation 2q2+8q+2=0, the coefficients are:a = 2b = 8c = 2
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac.Substitute the identified values into the discriminant formula:D=(8)2−4×2×2
Perform calculations: Perform the calculations to find the value of the discriminant. D=64−4×2×2D=64−16D=48