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What is the solution of x^2 - 18x^3 - x = 0

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steve1234 | Student, Undergraduate | Salutatorian

Posted September 11, 2013 at 5:42 PM via web

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What is the solution of x^2 - 18x^3 - x = 0

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 11, 2013 at 5:45 PM (Answer #1)

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The solution of x^2 - 18x^3 - x = 0 has to be determined.

x^2 - 18x^3 - x = 0

=> `x(-18x^2 + x - 1) = 0`

x = 0

`-18x^2 + x - 1 = 0`

=> `x = (-1+-sqrt(1 - 72))/36`

=> `x = (-1+-i*sqrt 71)/36`

The solution of the equation x^2 - 18x^3 - x = 0 is `{0, (-1-i*sqrt 71)/36, (-1+i*sqrt 71)/36}`

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