$a)\sqrt{4x+1}=x^3-5$$b)\sqrt{x-1}+\sqrt{3x-2}+x^2-x-5=0$$c) \sqrt{2x-3}-\sqrt{x}=2x-6$$d)\sqrt[3]{x}+x^3-3x^2+4x-3=0$$e)(4x-1)\sqrt{x^2+1}=2x^2+2x+1$$f)(2-2x)\sqrt{x^2+2x-1}=x^2-2x-1$$g) 2(x^2-2x)=3\sqrt{x^3+1}$$h)x^2+3\sqrt{x^2-1}=\sqrt{x^4-x^2+1}$