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Verify if the number i/(i+1) is complex.
Solution
Let z = i/(i+1)
Multiply both numerator and denominators by (1- i),
z = i(1-i)/(1+i)(1- i)
= (i-i^2)/(1-i^2)
= (i -1)/(1- -1) , as i^2 = -1
=( i -1)/2
(-1/2) +(1/2)i which is the complex number.

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Verify if the number i(i+1) is complex.SolutionLet z = i(i+1.pdf

  • 1. Verify if the number i/(i+1) is complex. Solution Let z = i/(i+1) Multiply both numerator and denominators by (1- i), z = i(1-i)/(1+i)(1- i) = (i-i^2)/(1-i^2) = (i -1)/(1- -1) , as i^2 = -1 =( i -1)/2 (-1/2) +(1/2)i which is the complex number.