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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 1.13x/0.13+1.03(40779.82-x)/0.03 = 820502 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 2038991 50 | − | x | ) | ÷ | 3 100 | = | 820502 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 2038991 50 | − | x | ) |
113 13 | x | + | 103 3 | ( | 2038991 50 | − | x | ) | = | 820502 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 2038991 50 | − | 103 3 | x |
| = | 113 13 | x | + | 210016073 150 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 210016073 150 |
| - | 1000 39 | x | + | 210016073 150 | = | 820502 |
Transposition :
| - | 1000 39 | x | = | 820502 | − | 210016073 150 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | - | 86940773 150 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
86940773 150 | = | 1000 39 | 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 39 | x | = | 86940773 150 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 86940773 150 | ÷ | 1000 39 |
| = | 86940773 150 | × | 39 1000 |
| = | 86940773 50 | × | 13 1000 |
We obtained :
| x | = | 1130230049 50000 |
Convert the result to decimal form :
| x | = | 22604.60098 |