总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 ((((40000*(1+x)+40000)*(1+x)+40000)*(1+x)+40000)*(1+x)+40000)*(1+x) = 201517.60 的解.
题型:方程
解:原方程: | ( | ( | ( | ( | 40000 | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | = | 1007588 5 |
去掉方程左边的括号:
方程左边 = | ( | ( | ( | 40000 | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) |
= | ( | ( | 40000 | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) |
= | ( | 40000 | ( | 1 | + | x | ) | + | 40000 | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
= | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 |
= | 40000 | × | 1 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
= | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 |
= | 40000 | × | 1 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x |
= | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) |
= | 40000 | × | 1 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
= | 40000 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
= | 40000 | × | 1 | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x |
= | 40000 | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) |
= | 40000 | × | 1 | + | 40000 | x | + | 40000 | x | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 |
= | 40000 | + | 40000 | x | + | 40000 | x | ( | 1 | + | x | ) | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x |
= | 40000 | + | 40000 | x | + | 40000 | x | × | 1 | + | 40000 | x | x | + | 40000 | x | ( | 1 | + | x | ) |
= | 40000 | + | 40000 | x | + | 40000 | x | + | 40000 | x | x | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
= | 40000 | + | 80000 | x | + | 40000 | x | x | + | 40000 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 40000 | x |
= | 40000 | + | 80000 | x | + | 40000 | x | x | + | 40000 | x | × | 1 | ( | 1 | + | x | ) | + | 40000 | x |
= | 40000 | + | 80000 | x | + | 40000 | x | x | + | 40000 | x | ( | 1 | + | x | ) | + | 40000 | x | x |
= | 40000 | + | 80000 | x | + | 40000 | x | x | + | 40000 | x | × | 1 | + | 40000 | x | x |
= | 40000 | + | 80000 | x | + | 40000 | x | x | + | 40000 | x | + | 40000 | x | x | + | 40000 |
= | 40000 | + | 120000 | x | + | 40000 | x | x | + | 40000 | x | x | + | 40000 | x | x |
= | 40000 | + | 120000 | x | + | 40000 | x | x | + | 40000 | x | x | + | 40000 | x | x |
= | 40000 | + | 120000 | x | + | 40000 | x | x | + | 40000 | x | x | + | 40000 | x | x |
= | 40000 | + | 120000 | x | + | 40000 | x | x | + | 40000 | x | x | + | 40000 | x | x |
x≈0.002521 ,保留6位小数
有 1个解。
解一元一次方程的详细方法请参阅:《一元一次方程的解法》
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