Question

find the value of a and b,if (a+ib) (2-3i)= 4+i​

Answer 1

Answer:

a= 5/13

b= 14/13

Step-by-step explanation:

(a+ib)(2−3i)=4+i

2a−(3a)i+(2b)i−3bi

2

=4+i

Real

2a+3b

+

Imaginary

(2b−3a)

i=4+i

Comparing the real & imaginary parts,

2a+3b=4--------------------------(1)

2b−3a=1----------------------------(2)

Solving eq(1) & eq(2),

4a+6b=8

−9a+6b=3

13a=5⇒a= 5/13

b=14/13

Answer 2

Answer:

I hope you understand shhsvshz