Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form az2+bz+c=0. For the equation 2z2−4z+5=0, the coefficients are:a = 2b = −4c = 5
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac. Substitute the identified values into the formula: D=(−4)2−4×2×5
Perform calculations: Perform the calculations to find the discriminant.D=16−4×2×5D=16−40D=−24