Question

Find A and B if

(a+ib) (1+i) = 2+i​

Answer 1

multiple (a+ ib) (1+i)=2 + i

a+ia + ib + _ B= 2+i

a-b= 2 equation 1

a+B=1 equation 2

from 1 equation a=2+ B

put valu of a in equation 2

then 2 + B+ b=1

2 B= 1-2

B= -1/2

a=2-1/2

a=3/2