Question

Help? last probelm anyone

Answer 1

-1+4i

Explanation:

use complec arithmetic rule. a+bi/c+di=(c-di)(a+bi)/(c-di)(c+di)= (ac+db)+(bc-ad)i/c^2+d^2

a=8, b=19, c=4, d=-3

= (8*4+19(-3))+(19*4-8(-3))i/ 4^2+(-3)^2

Refine = -25+100i/25

Simplify and you get :

-1+4i

Hope this helps