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(1.52.9i)+(4.3+1.4i)(1.5-2.9 i)+(4.3+1.4 i)

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Q. (1.52.9i)+(4.3+1.4i)(1.5-2.9 i)+(4.3+1.4 i)
  1. Identify Parts: Identify the real and imaginary parts of each complex number.\newlineThe real part of the first complex number 1.52.9i1.5 - 2.9i is 1.51.5, and the imaginary part is 2.9i-2.9i.\newlineThe real part of the second complex number 4.3+1.4i4.3 + 1.4i is 4.34.3, and the imaginary part is 1.4i1.4i.
  2. Add Real Parts: Add the real parts of the complex numbers.\newlineAdd 1.51.5 (the real part of the first complex number) to 4.34.3 (the real part of the second complex number).\newline1.5+4.3=5.81.5 + 4.3 = 5.8
  3. Add Imaginary Parts: Add the imaginary parts of the complex numbers.\newlineAdd 2.9i-2.9i (the imaginary part of the first complex number) to 1.4i1.4i (the imaginary part of the second complex number).\newline2.9i+1.4i=1.5i-2.9i + 1.4i = -1.5i
  4. Combine Results: Combine the results from Step 22 and Step 33 to find the sum of the complex numbers.\newlineThe sum of the real parts is 5.85.8, and the sum of the imaginary parts is 1.5i-1.5i.\newlineTherefore, the sum of the complex numbers is 5.81.5i5.8 - 1.5i.

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