Maximize the Value 2

Algebra Level pending

Find the greatest real value of $\lfloor 100x\rfloor$ such that $x^6-2x^5-4x^4-8x^3-4x^2-2x+1=0.$

This problem is not original.

1 solution

Lu Chee Ket
Feb 7, 2015

x = -1/2 + j Sqrt (3)/ 2 = - 0.5 + j 0.866025 OR

x = -1/ 2 - j Sqrt (3)/ 2 = - 0.5 - j 0.866025 OR

x = 2 - Sqrt (3) = 0.267949 OR

x = 2 + Sqrt (3) = 3.73205

Answer: 100 x 3.73 = 373 {The greatest real value wanted.}