For $0<\mathrm{c}<\mathrm{b}<\mathrm{a}$, let $(\mathrm{a}+\mathrm{b}-2 \mathrm{c}) \mathrm{x}^2+(\mathrm{b}+\mathrm{c}-2 \mathrm{a}) \mathrm{x}+(c+a-2 b)=0$ and $\alpha \neq 1$ be one of its root. Then, among the two statements
If α∈(-1,0), then b cannot be the geometric mean of a and c
If α∈(0,1), then b may be the geometric mean of a and c