1, $\sqrt{60-24x-3x^{2}} = x^{2}+5x-10$
2, $(x+3) \sqrt{(4-x)(12+x)} = 28 - x$
3, $x^{2} +2(x-1)\sqrt{x^{2}+x+1}- x+2 = 0$
4, $x - 2\sqrt{x-1}- ( x-1)\sqrt{x}+\sqrt{x^{2}-x}=0$
5, $(3x+1)\sqrt{x^{2}+3}= 3x^{2} +2x +3$
6, $4x^{2} + \sqrt{2x+3} = 8x+1$