Question 985658


One particular solution is the quadratic polynomial  {{{x^2 - 4x + 2}}} 

and the quadratic equation 


{{{x^2 -4x + 2}}} = {{{0}}}. 


It has integer coefficients and the roots  {{{2 + sqrt(2)}}}  and  {{{2 - sqrt(2)}}}. 


Any other quadratic polynomial with the multiple coefficients,  like 


{{{mx^2 -4mx + 2m}}}


with an integer &nbsp;<B>m</B>&nbsp; and the corresponding quadratic equation 


{{{mx^2 -4mx + 2m}}} = {{{0}}}


is also the solution.