Question

Find a and b if a+2b+2ai = 4+6i

Answer 1

a = 3 and b= 1/2

Step-by-step explanation:

a + 2b + 2ai = 4 + 6i

comparing both sides,

a + 2b = 4 and 2ai = 6i

now, 2ai = 6i

2a = 6

a = 3

also, a + 2b = 4

3 + 2b = 4

2b = 1

b = 1/2

Answer 2

Step-by-step explanation:

a+2ab+2ai=4+6i

(a+2b)+2ai=4+6i

by equality of complex numbers

(a+2b)=4...................(1)

3+2b=4

2b=4-3

2b=1

b=1/2

2a=6......................(2)

a=6/2

a=3

hope its help you