SOLUTION: Factor the expression on the left side of the equation. Then solve the equation. x^6 + 128x^3 + 4096 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the expression on the left side of the equation. Then solve the equation. x^6 + 128x^3 + 4096 = 0      Log On


   

Question 962878: Factor the expression on the left side of the equation. Then solve the equation.
x^6 + 128x^3 + 4096 = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let u=x^3.

u%5E2%2B128u%2B4096=0
-
discriminant=%28128%5E2-4%2A4096%29=0
%28u%2B64%29%5E2=0
x%5E3%2B64=0
x=-4



4*4*4=16*4=64