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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 3.1451 = （20.095（x+0.1））/（1+1.5601（x+0.1））*（100-12.82-1.04）/100*1/(1+0.31*1.04)+（1.43（x+0.1））/（1.38*0.101325） .
Question type: Equation
Solution:Original question:
31451 10000 | = | ( | 4019 200 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | × | ( | 100 | − | 641 50 | − | 26 25 | ) | ÷ | 100 | × | 1 | ÷ | ( | 1 | + | 31 100 | × | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) |
31451 10000 | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | = | ( | 4019 200 | ( | x | + | 1 10 | ) | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | ÷ | 100 | × | 1 | ÷ | ( | 1 | + | 31 100 | × | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) |
31451 10000 | × | 1 | + | 31451 10000 | × | 15601 10000 | ( | x | + | 1 10 | ) | = | ( | 4019 200 | ( | x | + | 1 10 | ) | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | ÷ | 100 | × | 1 | ÷ | ( | 1 | + | 31 100 | × | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) |
31451 10000 | × | 1 | + | 31451 10000 | × | 15601 10000 | ( | x | + | 1 10 | ) | = | 4019 200 | ( | x | + | 1 10 | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | ÷ | 100 | × | 1 | ÷ | ( | 1 | + | 31 100 | × | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) |
31451 10000 | + | 490667051 100000000 | ( | x | + | 1 10 | ) | = | 4019 20000 | ( | x | + | 1 10 | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | ÷ | ( | 1 | + | 31 100 | × | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 31 100 | × | 26 25 | ) |
31451 10000 | ( | 1 | + | 31 100 | × | 26 25 | ) | + | 490667051 100000000 | ( | x | + | 1 10 | ) | ( | 1 | + | 31 100 | × | 26 25 | ) | = | 4019 20000 | ( | x | + | 1 10 | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | ( | 1 | + | 31 100 | × | 26 25 | ) |
31451 10000 | × | 1 | + | 31451 10000 | × | 31 100 | × | 26 25 | + | 490667051 100000000 | ( | x | + | 1 10 | ) | ( | 1 | + | 31 100 | × | 26 25 | ) | = | 4019 20000 | ( | x | + | 1 10 | ) | ( | 100 | − | 641 50 | − | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | ( | 1 | + | 31 100 | × | 26 25 | ) |
31451 10000 | × | 1 | + | 31451 10000 | × | 31 100 | × | 26 25 | + | 490667051 100000000 | ( | x | + | 1 10 | ) | ( | 1 | + | 31 100 | × | 26 25 | ) | = | 4019 20000 | x | ( | 100 | − | 641 50 | − | 26 25 | ) | + | 4019 20000 | × | 1 10 | ( | 100 | − | 641 50 | − | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | ( | 1 | + | 31 100 | × | 26 25 | ) |
31451 10000 | + | 12674753 12500000 | + | 490667051 100000000 | ( | x | + | 1 10 | ) | ( | 1 | + | 31 100 | × | 26 25 | ) | = | 4019 20000 | x | ( | 100 | − | 641 50 | − | 26 25 | ) | + | 4019 200000 | ( | 100 | − | 641 50 | − | 26 25 | ) | + | ( | 143 100 | ( | x | + | 1 10 | ) | ) | ÷ | ( | 69 50 | × | 4053 40000 | ) | × | ( | 1 | + | 15601 10000 | ( | x | + | 1 10 | ) | ) | ( | 1 | + | 31 100 | × | 26 25 | ) |
The solution of the equation:
x1≈-0.740985 , keep 6 decimal places
x2≈0.284344 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》