Identify values: Identify the values of a, b, and c from the quadratic equation.The quadratic equation is in the form ax2+bx+c=0. For the equation 8s2+5s+8=0, we can see that:a=8b=5c=8
Use discriminant formula: Use the discriminant formula D=b2−4ac to find the discriminant of the quadratic equation.Substitute 8 for a, 5 for b, and 8 for c in the formula.D=(5)2−4×8×8
Calculate discriminant: Calculate the discriminant.D=25−4×8×8D=25−256D=−231