总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (10000+10000x)×(10000+10000x)×(10000+10000x)×(10000+10000x)×(10000+10000x) = 10000 的解.
题型:方程
解:原方程: | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | = | 10000 |
去掉方程左边的括号:
方程左边 = | 10000 | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 10000 | x | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) |
= | 10000 | × | 10000 | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 10000 | × | 10000 | x | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 10000 |
= | 100000000 | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 100000000 | x | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 10000 | x | ( | 10000 | + | 10000 | x | ) |
= | 100000000 | × | 10000 | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 100000000 | × | 10000 | x | ( | 10000 | + | 10000 | x | ) | ( | 10000 | + | 10000 | x | ) | + | 100000000 | x | ( | 10000 | + | 10000 | x | ) |
x≈-0.999369 ,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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