SOLUTION: How to solve that equation? ((1-ix)/(1+ix))^4 = i My attempt solution: x^4+4ix^3-6x^2-4ix+1 = i*(x^4-4ix^3-6x^2+4ix+1) -ix^4+x^4+4ix^3-4x^3-6x^2+6ix^2+4x-4ix+... = 0 (1-i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: How to solve that equation? ((1-ix)/(1+ix))^4 = i My attempt solution: x^4+4ix^3-6x^2-4ix+1 = i*(x^4-4ix^3-6x^2+4ix+1) -ix^4+x^4+4ix^3-4x^3-6x^2+6ix^2+4x-4ix+... = 0 (1-i      Log On


   

Question 967731: How to solve that equation?
((1-ix)/(1+ix))^4 = i
My attempt solution:
x^4+4ix^3-6x^2-4ix+1 = i*(x^4-4ix^3-6x^2+4ix+1)
-ix^4+x^4+4ix^3-4x^3-6x^2+6ix^2+4x-4ix+... = 0
(1-i)(x^4 -4x^3 -6x^2 +4x + 1) = 0
(x^4 -4x^3 -6x^2 +4x + 1)=0
Can you suggest me a solution, please?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E4+-4x%5E3+-6x%5E2+%2B4x+%2B+1=0+
your solution is correct