SOLUTION: 11. (8 pts) For z = 7 + 4i and w = 3 + i, determine z/w. Simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work

Algebra ->  Equations -> SOLUTION: 11. (8 pts) For z = 7 + 4i and w = 3 + i, determine z/w. Simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work      Log On


   



Question 1135365: 11. (8 pts) For z = 7 + 4i and w = 3 + i, determine z/w. Simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
z+=+7+%2B+4i
w+=+3+%2B+i
determine z%2Fw
z%2Fw=%287+%2B+4i%29%2F%283+%2B+i%29
z%2Fw=%28%287+%2B+4i%29%283+-+i%29%29%2F%28%283+%2B+i%29%283+-i%29%29
z%2Fw=%2821+-+7i%2B12i-4i%5E2%29%2F%283%5E2+-i%5E2%29
z%2Fw=%2821%2B5i-4%28-1%29%29%2F%289+-%28-1%29%29
z%2Fw=%2821%2B5i%2B4%29%2F%289+%2B1%29
z%2Fw=%2825%2B5i%29%2F10.......simplify
z%2Fw=%28cross%2825%295%2Bcross%285%29i%29%2Fcross%2810%292
z%2Fw=%285%2Bi%29%2F2
z%2Fw=5%2F2%2B%281%2F2%29i