Question

解方程：九分之一（七分之一（五分之一（三分之X+2.+4）+6）+8）=1 求过程

Answer 1

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数学之美团为你解答

1/9 ( 1/7 ( 1/5 ( (x+2)/3+4) + 6) +8 ) = 1
1/7 ( 1/5 ( (x+2)/3 +4) + 6) +8 = 9
1/7 ( 1/5 ( (x+2)/3 +4) + 6) = 1
1/5 ( (x+2)/3 +4) + 6 = 7
1/5 ( (x+2)/3 +4) = 1
(x+2)/3 +4 = 5
(x+2) / 3 = 1
x + 2 = 3
x = 1

Answer 2

1/9 ( 1/7 ( 1/5 ( (x/3+2）+4) + 6) +8 ) = 1等式两边同时×9
( 1/7 ( 1/5 ( (x/3+2）+4) + 6) +8 = 9
( 1/7 ( 1/5 ( (x/3+2）+4) + 6)=1等式两边同时×7
( 1/5 ( (x/3+2）+4) + 6=7
( 1/5 ( (x/3+2）+4)=1等式两边同时×5
( (x/3+2）+4=5
x/3+2=1
x/3=-1
x=-3

Answer 3

1/9 ( 1/7 ( 1/5 ( (x+2)/3+4) + 6) +8 ) = 1
1/7 ( 1/5 ( (x+2)/3 +4) + 6) +8 = 9
1/7 ( 1/5 ( (x+2)/3 +4) + 6) = 1
1/5 ( (x+2)/3 +4) + 6 = 7
1/5 ( (x+2)/3 +4) = 1
(x+2)/3 +4 = 5
(x+2) / 3 = 1
x + 2 = 3
x = 1