SOLUTION: Find the solutions of the equation x4 − 4x3 − x2 + 4x = 0. (Enter your answers as a comma-separated list.)

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Question 1054250: Find the solutions of the equation
x4 − 4x3 − x2 + 4x = 0.
(Enter your answers as a comma-separated list.)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the solutions of the equation
x4 − 4x3 − x2 + 4x = 0.
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x(x^3 - 4x^2 - x + 4) = 0
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x[x^2(x-4)-(x-4)] = 0
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x(x-4)(x^2-1) = 0
x(x-4)(x-1)(x+1) = 0
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x = 0 or x = 4 or x = 1 or x = -1
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Cheers,
Stan H.
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