A complex number is in the form of a + ib; a = real part and b = imaginary part

Let z1=a+ib and z2=c+id, then:

z1+z2=(a+c) + i(b+d)

z2+z2=(ac-bd) + i(ad+bc)

For anynon-zero complex number z=a+ib (a≠0,b≠0), there exists the complex numberdenoted by 1/z or z^(-1), called the multiplicative inverse of z such that = 1 + i0 = 1

For any Integer k,

the conjugate of the complex number is

the polar form of complex number z = x + iy is

A polynomial equation of n degree has n roots.

The
solutions of the quadratic equationax^2 + bx + c = 0, where a,b,c ϵ R, a≠0, b^2 - 4ac < 0, are given by