全部式子相乘,
得(x1x2x3x4x5x6)^5/(x1x2x3x4x5x6)=1296
(x1x2x3x4x5x6)^4=1296
因x1,x2,x3,x4,x5均为正数,
有x1x2x3x4x5x6=6
(x2x3x4x5x6)÷X1=1 <1>
(x1x3x4x5x6)÷x2=2 <2>
(x1x2x4x5x6)÷x3=3 <3>
(x1x2x3x5x6)÷x4=4 <4>
(x1x2x3x4x6)÷x5=6 <5>
(x1x2x3x4x5)÷x6=9 <6>
<1>*<2>*<3>*<4>*<5>*<6>
x1^5*x2^5*x3^5*x4^5*x6^5/x1*x2*x3*x4*x5*x6=1*2*3*4*6*9
x1^4*x2^4*x3^4*x4^4*x5^4*x6^4=(2*3)^4
则x1x2x3x4x5x6=2*3=6______.
把6个式子相乘
(x1^5x2^5x3^5x4^5x5^5x6^5)/(x1x2x3x4x5x6)=1296
x1^4x2^4x3^4x4^4x5^4x6^4=1296=6^4
x1,x2,x3,x4,x5,x6都是正数
x1x2x3x4x5x6=6
将上面的六个式子等号两边分别相乘得
(x1x2x3x4x5x6)^5/(x1x2x3x4x5x6)=1296即
(x1x2x3x4x5x6)^4=1296
得x1x2x3x4x5x6=6
将以上6条式子左右各自乘起来就会有
(x1x2x3x4x5x6)^4=2*3*4*6*9
所以 x1x2x3x4x5x6=6
(x2x3x4x5x6)÷X1 * (x1x3x4x5x6)÷x2 * (x1x2x4x5x6)÷x3 * (x1x2x3x5x6)÷x4 *
(x1x2x3x4x6)÷x5 * (x1x2x3x4x5)÷x6 =
(x1x2x3x4x5x6)^4=1*2*3*4*6*9=1296
(x1x2x3x4x5*6)=6