Answer to Question #150078 in Algebra for Wesam

Question

Let w, x, y, and z be non zero complex numbers, and let n be a positive integer. Suppose that the following conditions hold:
•( 1 / w ) + ( 1 / x )+ ( 1 / y ) + ( 1 / z ) = 3,
• wx + wy + wz + xy + xz + yz = 14,
• (w+x)^3 + (w+y)^3 + (w+z)^3 + (x+y)^3+ (x+z)^3+ (y+z)^3= 2160,and
•w+x+y+z+i√n ∈ R
compute n

Answer 1

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