Complex Numbers and Quadratic Equations (Math) Close X  
 
Addition and Subtraction of Complex Numbers

  • The addition of two complex numbers z1 = a + ib and z2 = c + id is defined as

z1 + z2 = (a + c) + i(b + d)
For example: (4 + 3i) + (−2 + 6i) = (4 − 2) + i(3 + 6) = 2 + 9i

  • Several properties are exhibited by the addition of complex numbers.

  • Closure law
    The addition of complex numbers satisfies closure property i.e., the sum of two complex numbers is a complex number.
    If z1 and z2 are any two complex numbers, then z1 + z2 is also a complex number.

  • Commutative law
    The commutative law holds for the addition of complex numbers.
    If z1 and z2...

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