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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 (1.165-x)*(40-33.9) = (x-1.128)*3.9 .
Question type: Equation
Solution:Original question:
| ( | 233 200 | − | x | ) | ( | 40 | − | 339 10 | ) | = | ( | x | − | 141 125 | ) | × | 39 10 |
| Left side of the equation = | 233 200 | ( | 40 | − | 339 10 | ) | − | x | ( | 40 | − | 339 10 | ) |
| = | 233 200 | × | 40 | − | 233 200 | × | 339 10 | − | x | ( | 40 | − | 339 10 | ) |
| = | 233 5 | − | 78987 2000 | − | x | ( | 40 | − | 339 10 | ) |
| = | 14213 2000 | − | x | ( | 40 | − | 339 10 | ) |
| = | 14213 2000 | − | x | × | 40 | + | x | × | 339 10 |
| = | 14213 2000 | − | 61 10 | x |
14213 2000 | − | 61 10 | x | = | ( | x | − | 141 125 | ) | × | 39 10 |
| Right side of the equation = | x | × | 39 10 | − | 141 125 | × | 39 10 |
| = | x | × | 39 10 | − | 5499 1250 |
14213 2000 | − | 61 10 | x | = | 39 10 | x | − | 5499 1250 |
Transposition :
| - | 61 10 | x | − | 39 10 | x | = | - | 5499 1250 | − | 14213 2000 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 5499 1250 | − | 14213 2000 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 115057 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
115057 10000 | = | 10 | 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 :
| 10 | x | = | 115057 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 115057 10000 | ÷ | 10 |
| = | 115057 10000 | × | 1 10 |
We obtained :
| x | = | 115057 100000 |
Convert the result to decimal form :
| x | = | 1.15057 |