Question

a+2b+2ai=4+6i find a and b​

Answer 1

a+2b+2ai=4+6i  

then a+2b=4 and 2a=6  

2a=6 then a=6/2=3  

when a=3 3+2b=4  

2b=4-3=1  

b=1/2  

answer a=3 and b=1/2

Answer 2

Given,

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

To Find,

The value of a and b =?

Solution,

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

Equating real numbers and imaginary numbers of both sides.

a + 2b = 4

2a = 6

a = 6 / 2

a = 3

Putting value of a in a + 2b = 4

3 + 2b = 4

2b = 4 - 3

2b = 1

b = 1 / 2

Hence, the values of a and b are 3 and 1 / 2 respectively.