Complex Numbers and Quadratic Equations

A number of the form a + ib, where a and b are real numbers and , is defined as a complex number. For the complex numbers z = a + ib, a is called the real part (denoted by Re z) and b is called the imaginary part (denoted by Im z) of the complex number z.

Example: For the complex number , Re and Im

Two complex numbers z1 = a + ib and z2 = c + id are equal if a = c and b = d. Addition of complex numbersTwo complex numbers z1 = a + ib and z2 = c + id can be added as,

z1 + z2 = (a + ib) + (c + id) = (a + c) + i(b…

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