no. of integral solution

$\textbf{find no. of Integral solution of the equation}\\\\ $\mathbf{x^6 + 3x^4 + 3x^2 + 28 = x^9 - 3x^8 + 3x^7 - x^6}$

2 Answers

262

Aditya Bhutra ·2011-07-15 02:26:13

the expression simplifies to

(x^{3}-x^{2})^{3}- (x^{2}+1)^{3} = 27

which has no integral solns.

yes by Fermat's Last theorem.

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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