Viete's Relations: Solving Cubic Equations

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halvizo1031
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I'm having trouble with number three. I know Viete's relations are X1+X2+X3, X1X2+X1X3+X2X3, and x1x2x3 for a cubic equation.
 

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A symmetric polynomial doesn't change after any permutation.
 
correct, but how do i show that?
 

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