Question

1/( a+ b*i) = 3 − 2i. Find value of a &b?

Answer 1

Answer:

Step-by-step explanation:

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,

Hope it helps.