[tex]x=\sqrt{2}\\\\w(x)=x^4+2x^5-x^3-6x+1 = (\sqrt{2})^4+2 *(\sqrt{2})^5- (\sqrt{2})^3-6x+1=\\\\=\sqrt{2}*\sqrt{2}*\sqrt{2}*\sqrt{2}+2*\sqrt{2}*\sqrt{2}*\sqrt{2}*\sqrt{2}*\sqrt{2} -\sqrt{2}*\sqrt{2}*\sqrt{2}-6\sqrt{2}+1 =\\\\=4+8\sqrt{2} -2\sqrt{2}-6\sqrt{2}+1= 5[/tex]