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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (x/1.03*0.03)+(42000000-x/1.13)*0.13 = 3281303.37 .
Question type: Equation
Solution:Original question:
| ( | x | ÷ | 103 100 | × | 3 100 | ) | + | ( | 42000000 | − | x | ÷ | 113 100 | ) | × | 13 100 | = | 328130337 100 |
| Left side of the equation = | x | ÷ | 103 100 | × | 3 100 | + | ( | 42000000 | − | x | ÷ | 113 100 | ) | × | 13 100 |
| = | x | × | 3 103 | + | ( | 42000000 | − | x | ÷ | 113 100 | ) | × | 13 100 |
| = | 3 103 | x | + | 42000000 | × | 13 100 | − | x | ÷ | 113 100 | × | 13 100 |
| = | 3 103 | x | + | 5460000 | − | x | × | 13 113 |
| = | - | 1000 11639 | x | + | 5460000 |
| - | 1000 11639 | x | + | 5460000 | = | 328130337 100 |
Transposition :
| - | 1000 11639 | x | = | 328130337 100 | − | 5460000 |
Combine the items on the right of the equation:
| - | 1000 11639 | x | = | - | 217869663 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
217869663 100 | = | 1000 11639 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1000 11639 | x | = | 217869663 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 217869663 100 | ÷ | 1000 11639 |
| = | 217869663 100 | × | 11639 1000 |
We obtained :
| x | = | 2535785007657 100000 |