SOLUTION: Find all (real or nonreal) z satisfying (z - 3)^4 + (z - 5)^4 = -8.

Algebra.Com
Question 1078278: Find all (real or nonreal) z satisfying
(z - 3)^4 + (z - 5)^4 = -8.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!




The average of z-3 and z-5 is z-4, 
so let w = z-4, i.e., z = w+4









Divide through by 2







Edwin

RELATED QUESTIONS

Find all (real or nonreal) x satisfying (x - 3)^4 + (x - 5)^4 = -8 + 6(x - 3)(x - 5)^3 - (answered by CPhill,ikleyn)
find all solution of... (answered by ikleyn)
(z-4)... (answered by checkley77)
solve the following equation 3/z-3 + 5/z-1 = 8/z-2 A) z=-4 B) z=-6 C) z=4 D)... (answered by edjones)
determine the all z satisfying... (answered by richard1234)
4|3-z|-8=8 (answered by stanbon)
5(2-z)/4=-z (answered by jim_thompson5910)
z^3-64/z-4 (answered by longjonsilver)
What are the values of z satisfying the equation?... (answered by asha)