1.$(x^{2}-6x+11)\sqrt{x^{2}-x+1}=2(x^{2}-4x+7)\sqrt{x-2}$
2.$\sqrt{x^{2}+7}=4x-10+\sqrt{x^{2}-5}$
3.$(x-x^{2})(x^{2}+3x+2013)-2011x\sqrt{4-4x}=30\sqrt[4]{x^{2}+x-1}+2012$
4.$(3-3)\sqrt{x-1}+\sqrt{5-2x}=\sqrt{-x^{3}+10x^{2}-34x+40}$
5.$\sqrt{x^{2}-8x+816}+\sqrt{x^{2}+10x+267}=\sqrt{2003}$