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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+60-277.8)÷(277.8+60) = (x+60-285.4)/285.4 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 1389 5 | ) | ÷ | ( | 1389 5 | + | 60 | ) | = | ( | x | + | 60 | − | 1427 5 | ) | ÷ | 1427 5 |
| Multiply both sides of the equation by: | ( | 1389 5 | + | 60 | ) |
| ( | x | + | 60 | − | 1389 5 | ) | = | ( | x | + | 60 | − | 1427 5 | ) | ÷ | 1427 5 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | ( | x | + | 60 | − | 1427 5 | ) | ÷ | 1427 5 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | ÷ | 1427 5 | × | ( | 1389 5 | + | 60 | ) | + | 60 | ÷ | 1427 5 | × | ( | 1389 5 | + | 60 | ) | − | 1427 5 | ÷ | 1427 5 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | × | 5 1427 | ( | 1389 5 | + | 60 | ) | + | 300 1427 | ( | 1389 5 | + | 60 | ) | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 5 1427 | ( | 1389 5 | + | 60 | ) | + | 300 1427 | ( | 1389 5 | + | 60 | ) | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 5 1427 | × | 1389 5 | + | x | × | 5 1427 | × | 60 | + | 300 1427 | ( | 1389 5 | + | 60 | ) | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 1389 1427 | + | x | × | 300 1427 | + | 300 1427 | ( | 1389 5 | + | 60 | ) | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1689 1427 | x | + | 300 1427 | ( | 1389 5 | + | 60 | ) | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1689 1427 | x | + | 300 1427 | × | 1389 5 | + | 300 1427 | × | 60 | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1689 1427 | x | + | 83340 1427 | + | 18000 1427 | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1689 1427 | x | + | 101340 1427 | − | 1427 1427 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 1689 1427 | x | + | 101340 1427 | − | 1427 1427 | × | 1389 5 | − | 1427 1427 | × | 60 |
| x | − | 1089 5 | = | 1689 1427 | x | + | 101340 1427 | − | 1982103 7135 | − | 85620 1427 |
| x | − | 1089 5 | = | 1689 1427 | x | − | 1903503 7135 |
Transposition :
| x | − | 1689 1427 | x | = | - | 1903503 7135 | + | 1089 5 |
Combine the items on the left of the equation:
| - | 262 1427 | x | = | - | 1903503 7135 | + | 1089 5 |
Combine the items on the right of the equation:
| - | 262 1427 | x | = | - | 69900 1427 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
69900 1427 | = | 262 1427 | 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 :
262 1427 | x | = | 69900 1427 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 69900 1427 | ÷ | 262 1427 |
| = | 69900 1427 | × | 1427 262 |
| = | 34950 1427 | × | 1427 131 |
We obtained :
| x | = | 49873650 186937 |
Convert the result to decimal form :
| x | = | 266.793893 |