Assignment Brief and Guidance: Activity 1 1.1. Solve the given mathematics problem using complex number theory. Consider the quadratic equation: z² -6z+13=0 i) Calculate the discriminant of the quadratic equation (D = b² -4ac) and determine whether it has real or complex roots. Explain your findings. ii) If the roots are complex, solve for the two complex roots (Z₁ and Z2) using the quadratic formula: -b±√D Z 2a iii) iv) Express the complex roots (Z₁ and Z2) in both rectangular form (x+yi) and polar form (re¹º), where r is the magnitude of the complex number and 0 is the argument. Discuss the geometric interpretation of the complex roots in the complex plane.