总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (100+x)*(100+x)*(100+x)-(10+x)*(10+x)*(10+x) = (10+x)*(10+x)*(10+x)-x*x*x 的解.
题型:方程
解:原方程: | ( | 100 | + | x | ) | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) | = | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) | − | x | x | x |
去掉方程左边的括号:
方程左边 = | 100 | ( | 100 | + | x | ) | ( | 100 | + | x | ) | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 100 | × | 100 | ( | 100 | + | x | ) | + | 100 | x | ( | 100 | + | x | ) | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 10000 | ( | 100 | + | x | ) | + | 100 | x | ( | 100 | + | x | ) | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 10000 | × | 100 | + | 10000 | x | + | 100 | x | ( | 100 | + | x | ) | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 1000000 | + | 10000 | x | + | 100 | x | ( | 100 | + | x | ) | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 1000000 | + | 10000 | x | + | 100 | x | × | 100 | + | 100 | x | x | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) |
= | 1000000 | + | 10000 | x | + | 10000 | x | + | 100 | x | x | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) |
= | 1000000 | + | 20000 | x | + | 100 | x | x | + | x | ( | 100 | + | x | ) | ( | 100 | + | x | ) | − | ( | 10 | + | x | ) | ( | 10 | + | x | ) | ( | 10 | + | x | ) |
= | 1000000 | + | 20000 | x | + | 100 | x | x | + | x | × | 100 | ( | 100 | + | x | ) | + | x | x | ( | 100 | + | x | ) |
= | 1000000 | + | 20000 | x | + | 100 | x | x | + | x | × | 100 | × | 100 | + | x | × | 100 | x |
= | 1000000 | + | 20000 | x | + | 100 | x | x | + | x | × | 10000 | + | x | × | 100 | x | + | x |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | ( | 100 | + | x | ) |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 1000000 | + | 30000 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29900 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29900 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29900 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29800 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29800 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29800 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
= | 999000 | + | 29800 | x | + | 100 | x | x | + | x | × | 100 | x | + | x | x | × | 100 |
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