Question

Find a&b, 1/a+ib=3-2i​

Answer 1

Answer:a=3/13 ,b=2/13

Step-by-step explanation:1/a+ib=3-2i

a+ib=1/3-2i (By Rationalizing The Denomonator)

a+ib=1 (3+2i)/(3-2i) (3+2i)

a+ib=3+2i/(3×3)-(2i×2i)

a+ib=3+2i/9-4i*i (i*2=-1)

a+ib=3+2i/9-(4×-1)

a+ib=3+2i/9-(-4)

a+ib=3+2i/9+4

a+ib=3+2i/13

Therefore a=3/13 , b=2/13

Answer 2

Step-by-step explanation:

Answer: The required values of a and b are$a=\dfrac{3}{13},~~b=\dfrac{2}{13}.$Step-by-step