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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation [(3220+X)0.1+3220]0.06+3220 = 3735.2 .
Question type: Equation
Solution:Original question:
| ( | ( | 3220 | + | X | ) | × | 1 10 | + | 3220 | ) | × | 3 50 | + | 3220 | = | 18676 5 |
| Left side of the equation = | ( | 3220 | + | X | ) | × | 1 10 | × | 3 50 | + | 3220 | × | 3 50 | + | 3220 |
| = | ( | 3220 | + | X | ) | × | 3 500 | + | 966 5 | + | 3220 |
| = | ( | 3220 | + | X | ) | × | 3 500 | + | 17066 5 |
| = | 3220 | × | 3 500 | + | X | × | 3 500 | + | 17066 5 |
| = | 483 25 | + | X | × | 3 500 | + | 17066 5 |
| = | 85813 25 | + | 3 500 | X |
85813 25 | + | 3 500 | X | = | 18676 5 |
Transposition :
3 500 | X | = | 18676 5 | − | 85813 25 |
Combine the items on the right of the equation:
3 500 | X | = | 7567 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 7567 25 | ÷ | 3 500 |
| = | 7567 25 | × | 500 3 |
| = | 7567 | × | 20 3 |
We obtained :
| X | = | 151340 3 |
Convert the result to decimal form :
| X | = | 50446.666667 |