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.x5 + x4 +1  @ @¶ìÿa@óÝy‹¾a@ u@                 @QXV
                               x2 + x +1
                                          ()

                 x3 −x +1          +1
x2 + x +1 x5 + x4

             x5 + x4 + x3

             − x3                  +1

             −x3 − x2 −x

                           x2 + x +1

                           x2 + x +1

                                   0

.x5 + x 4 + 1 = (x2 + x + 1)(x 3 − x + 1)

         ( ) x3 −x +1

x(x + 1)(x + 2)(x + 3) = 63               ()

.(x2 + 3x + 2)(x2 + 3x ) − 63 = 0

                                   y = x 2 + 3x

             (y + 2)y − 63 = 0            y =7
              y2 + 2y − 63 = 0

             (y − 7)(y + 9) = 0

                               .y = −9
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