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MATH / Find the sum of the roots, real and non-real, of the equation…

Problem

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problem

Find the sum of the roots, real and non-real, of the equation x2001+(12−x)2001=0x^{2001}+\left(\frac 12-x\right)^{2001}=0, given that there are no multiple roots.
Plain-text mathematical notation (without MathML)
Find the sum of the roots, real and non-real, of the equation x²⁰⁰¹+((1)/(2)−x)²⁰⁰¹=0, given that there are no multiple roots.
Original LaTeX notation
Find the sum of the roots, real and non-real, of the equation $x^{2001}+\left(\frac 12-x\right)^{2001}=0$, given that there are no multiple roots.

level

Level 4

type

Intermediate Algebra

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Source and history

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