Identify values of a, b, c: Identify the values of a, b, and c from the quadratic equation in the form ax2+bx+c=0. Comparing 4q2−2q+4=0 with ax2+bx+c=0, we find: a=4b0b1
Use discriminant formula: Use the discriminant formula D=b2−4ac to find the discriminant of the quadratic equation.Substitute 4 for a, −2 for b, and 4 for c into the formula.D=(−2)2−4×4×4
Calculate the discriminant: Calculate the discriminant.D=(−2)2−4×4×4D=4−64D=−60