已知,正数x1,x2,x3,x4,x5,x6,同时满足:(X1X2X3X4X5X6)/X1=1,(X1X2X3X4X5X

2个回答

  • (X1X2X3X4X5X6)/X1=1 所以 X1X2X3X4X5X6=X1 所以X2X3X4X5X6=1 (1)

    (X1X2X3X4X5X6)/X3=2 所以:X1X2X3X4X5X6=2X3 所以X1X2X4X5X6=2 (2)

    (X1X2X3X4X5X6)/X4=4 X1X2X3X4X5X6=4X4 X1X2X3X5X6=4 (3)

    (X1X2X3X4X5X6)/X5=6 X1X2X3X4X5X6=6X5 X1X2X3X4X6=6 (4)

    (X1X2X3X4X5X6)/X6=9 X1X2X3X4X5X6=9X6 X1X2X3X4X5=9 (5)

    (2)/(1) X1=2X3

    (3)/(1)X1=4X4

    (4)/(1)X1=6X5

    (5)/(1)X1=9X6

    X1+X2+X3+X4+X5+X6=5/4X1+X2

    把x3=1/2x1.x4=1/4x1.带入(1)(2)解出x1 x2 带入即可