find value of a and b in a+2bi=3+(a+1)i

Answer 1

a+2bi=3+(a+1)i

a+2bi=3+ai+i

a+2bi =3+(a+1)i

Compare coefficients

a = 3

2b=a+1

2b = 3+1

2b=4

b = 2

Check

a+2bi=3+(a+1)i

3+2(2)i = 3+(3+1)i

3+4i=3+4i