There is only one whole number solution between 0 and 11 of the congruence equation ( x 2 + 3 x + 7 ) ≡ 2 mod 11. Find the solution.

Question

There is only one whole number solution between 0 and 11 of the congruence equation   (      x          2        +  3  x  +  7  )  ≡  2  mod  11. Find the solution.

Finnegan Stone · Accepted Answer

(      x          2        +  3  x  +  7  )  =  2  mod  11Find a whole number x&amp;lt;11, such that                     x                  2                    +      3      x      +      7      −      2        11   is an integerif   x  =  0  ,  =      5    11  if   x  =  1  ,  =      9    11  if   x  =  2  ,  =      15    11  if   x  =  3  ,  =      23    11  if   x  =  4  ,  =      33    11    =  3 is an integer.if   x  =  5  ,  =      45    11  if   x  =  6  ,  =      59    11  if   x  =  7  ,  =      75    11  if   x  =  8  ,  =      93    11  if   x  =  9  ,  =      113    11  if   x  =  10  ,      135    11  Therefore, there is only one whole number solution, x=4.

There is only one whole number solution between 0 and 11 of the congruence equation (x^2 +3x+7)equiv 2 mod 11. Find the solution.

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