SOLUTION: For questions 7 – 18, find each quotient. Show your work. Write each answer in a + bi form. 7. 2/3i 8. 4/2i 12. 5i/4 - i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: For questions 7 – 18, find each quotient. Show your work. Write each answer in a + bi form. 7. 2/3i 8. 4/2i 12. 5i/4 - i      Log On


   

Question 1090238: For questions 7 – 18, find each quotient. Show your work. Write each answer in a + bi form.
7. 2/3i
8. 4/2i
12. 5i/4 - i
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

in a+%2B+bi form:
7. 2%2F%283i%29=>
8. 4%2F2i=> 0+%2B+4%2F%282i%29=0+%2B+%284%2A2i%29%2F%282i%29%5E2=0+%2B+%284%2A2i%29%2F%284%2A-1%29=0-2i
12. 5i%2F4+-+i=>0%2B5i%2F4+-+4i%2F4=0%2Bi%2F4=0%2B%281%2F4%29i

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

For questions 7 – 18, find each quotient. Show your work. Write each answer in a + bi form.
7. 2/3i
8. 4/2i
12. 5i/4 - i
7) 2%2F%283i%29

2+%2A+i%2F%283i+%2A+i%29 -------- Multiplying numerator and denominator by i 

2i%2F%283i%5E2%29

2i%2F%283+%2A+-+1%29 ------ Substituting - 1 for i2

highlight_green%28matrix%281%2C3%2C+2i%2F%28-+3%29%2C+%22=%22%2C+%28-+2%2F3%29i%29%29

Now, you should be able to do the rest!