Solution for Problem 1.5.4

 

Perform indicated operation.   
Write in standard form. a + bi .

Solve

Step

Multiply the numerator and the denominator by 3 - 4i (complex conjugate)

(4 - i)(4 + i) = 42 + 4i - 4i - i2
= 16 -1(-1) = 16 + 1  = 17

NOTE:

(a + bi)(a - bi) = a2 + b2 Try it!