Identify coefficients: Identify the coefficients of the quadratic equation.The quadratic equation is in the form az2+bz+c=0. For the equation 2z2+7z−7=0, the coefficients are:a = 2b = 7c = −7
Calculate discriminant: Calculate the discriminant using the formula D=b2−4ac.Substitute the identified values into the discriminant formula:D=(7)2−4×2×(−7)
Perform calculations: Perform the calculations to find the value of the discriminant.D=49−4×2×(−7)D=49+56D=105