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If x^6-12x^5+ax^4+bx^3+cx^2+dx+64=0 has positive roots then find a, b,c,d

If x^6-12x^5+ax^4+bx^3+cx^2+dx+64=0 has positive roots then find a, b,c,d

Grade:11

1 Answers

Anish Singhal
askIITians Faculty 1192 Points
5 years ago
Assume any 6 positive roots. AM of roots > or equal to GM of roots. Here you will find out AM=GM, this implies that roots are equal, now you can calculate roots and value and proceed.

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