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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(3636.02-x)/0.03 = 402434.72 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 181801 50 | − | x | ) | ÷ | 3 100 | = | 10060868 25 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 181801 50 | − | x | ) |
113 13 | x | + | 103 3 | ( | 181801 50 | − | x | ) | = | 10060868 25 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 181801 50 | − | 103 3 | x |
| = | 113 13 | x | + | 18725503 150 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 18725503 150 |
| - | 1000 39 | x | + | 18725503 150 | = | 10060868 25 |
Transposition :
| - | 1000 39 | x | = | 10060868 25 | − | 18725503 150 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | 8327941 30 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 8327941 30 | = | 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 | = | - | 8327941 30 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 8327941 30 | ÷ | 1000 39 |
| = | - | 8327941 30 | × | 39 1000 |
| = | - | 8327941 10 | × | 13 1000 |
We obtained :
| x | = | - | 108263233 10000 |
Convert the result to decimal form :
| x | = | - 10826.3233 |