SOLUTION: Evaluate the expression and write the result in the form a+bi. -4 - 9i/4-i the quotient is____

Algebra ->  Expressions-with-variables -> SOLUTION: Evaluate the expression and write the result in the form a+bi. -4 - 9i/4-i the quotient is____      Log On


   

Question 346722: Evaluate the expression and write the result in the form a+bi. -4 - 9i/4-i the quotient is____
Answer by nyc_function(2741) About Me  (Show Source):
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(- 4 − 9i) ⁄ (4 − i)   

multiply by 1 = (4 + i)/(4 + i)

(- 16 − 4i − 36i + 9) ⁄ (16 + 1) 

NOTE:   i^2 = -1
  
(- 7 − 40i) ⁄ 17
  
(- 7 ⁄ 17) − (40 ⁄ 17) • i