SOLUTION: x^6-9x^3-10=0

Question 400662: x^6-9x^3-10=0
Found 2 solutions by richard1234, sofiyac:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let so that we can obtain a quadratic:

z = 10, z = -1. Since we have

, Each of these equations has three complex roots that form roots of unity. For the first equation, we have as well as . The second equation has roots as well as .
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!

Set each part equal to zero and solve for x
add 10 to each side
Take cubed root of each side
*The application doesn't know how to write cubed root* but basically it's a radical sign (like a square root sign, only instead of 2 on the top left of it, you have 3
subtract 1 from each side
take cubed root of each side

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