: Find a and b if ( + )(1 + ) = 2 + .
Answers
Step-by-step explanation:
Solution:
Given (a+ib) (1+i) = 2+i
=> a+ib+ai-b = 2+i
Comparing real and imaginary terms
a-b = 2…(i)
a+b = 1…(ii)
Adding (i) and (ii), we get
=> 2a = 3
=> a = 3/2
Substitute a in (ii)
So b = 1-3/2
= -1/2
Hence a = 3/2 and b = -1/2.
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