SOLUTION: Solve (2x-1)^4 + (2x-1)^2

SOLUTION: Solve (2x-1)^4 + (2x-1)^2 - 6 = 0

Question 1116475: Solve (2x-1)^4 + (2x-1)^2 - 6 = 0
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

Let

u=2 and u=-3 are solutions, consider each in turn:

u=2:

= +/-
= +/-

Two of the four solutions are real solutions:
and

Now for the complex solutions:
u=-3:

= +/-

Which has complex solutions:
and

The four roots together are all of the solutions to the 4th order equation.

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