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### Questions (16)

 23 This inequality why can't solve it by now (Only four variables inequality)? 14 Find all solution $a,b,c$ with $(1-a^2)(1-b^2)(1-c^2)=8abc$ 12 How do we show this matrix has full rank? 8 Find all rational solutions of $x^2(x+1)(x^2+1)(x-1)=2(y+1)(y-1)$ 8 How prove this polynomial inequality from a book

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 13 A variant of Cauchy-type functional equation conjecture 7 Find all solution $a,b,c$ with $(1-a^2)(1-b^2)(1-c^2)=8abc$ 4 Absolute value inequality with complex numbers 2 How do we show this matrix has full rank? 1 Inequality involving the side lengths of a quadrilateral

### Tags (22)

 17 cv.complex-variables × 2 5 inequalities × 5 13 functional-equations 2 linear-algebra × 4 13 gm.general-mathematics 2 matrices × 3 7 nt.number-theory × 7 1 euclidean-geometry 7 diophantine-equations × 5 1 mg.metric-geometry