Dam Quan Son

Chứng minh phương trình sau vô nghiệm:

$(15-4x)\sqrt{2x-3}+(4x-3)\sqrt{5-2x}=2+8\sqrt{16x-4x^2}$

$\left\{\begin{matrix}\ \chi +\alpha +\beta =0 & & \\ \chi ^{2}+\alpha ^{2}+\beta ^{2}=10 & & \\ \chi ^{7}+\alpha ^{7}+\beta ^{7}=350 & & \end{matrix}\right.$

$\left\{\begin{matrix}5\chi ^{3}+ 3\upsilon ^{3}=6+2\chi \upsilon & & \\ 3\chi ^{3}+2\upsilon ^{3}=8-3\chi \upsilon & & \end{matrix}\right.$