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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+60-285.5)/285.5 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 1389 5 | ) | ÷ | ( | 1389 5 | + | 60 | ) | = | ( | x | + | 60 | − | 571 2 | ) | ÷ | 571 2 |
| Multiply both sides of the equation by: | ( | 1389 5 | + | 60 | ) |
| ( | x | + | 60 | − | 1389 5 | ) | = | ( | x | + | 60 | − | 571 2 | ) | ÷ | 571 2 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | ( | x | + | 60 | − | 571 2 | ) | ÷ | 571 2 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | ÷ | 571 2 | × | ( | 1389 5 | + | 60 | ) | + | 60 | ÷ | 571 2 | × | ( | 1389 5 | + | 60 | ) | − | 571 2 | ÷ | 571 2 | × | ( | 1389 5 | + | 60 | ) |
| x | + | 60 | − | 1389 5 | = | x | × | 2 571 | ( | 1389 5 | + | 60 | ) | + | 120 571 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 2 571 | ( | 1389 5 | + | 60 | ) | + | 120 571 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 2 571 | × | 1389 5 | + | x | × | 2 571 | × | 60 | + | 120 571 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | x | × | 2778 2855 | + | x | × | 120 571 | + | 120 571 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 3378 2855 | x | + | 120 571 | ( | 1389 5 | + | 60 | ) | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 3378 2855 | x | + | 120 571 | × | 1389 5 | + | 120 571 | × | 60 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 3378 2855 | x | + | 33336 571 | + | 7200 571 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 3378 2855 | x | + | 40536 571 | − | 1 | ( | 1389 5 | + | 60 | ) |
| x | − | 1089 5 | = | 3378 2855 | x | + | 40536 571 | − | 1 | × | 1389 5 | − | 1 | × | 60 |
| x | − | 1089 5 | = | 3378 2855 | x | + | 40536 571 | − | 1389 5 | − | 60 |
| x | − | 1089 5 | = | 3378 2855 | x | − | 761739 2855 |
Transposition :
| x | − | 3378 2855 | x | = | - | 761739 2855 | + | 1089 5 |
Combine the items on the left of the equation:
| - | 523 2855 | x | = | - | 761739 2855 | + | 1089 5 |
Combine the items on the right of the equation:
| - | 523 2855 | x | = | - | 27984 571 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
27984 571 | = | 523 2855 | 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 :
523 2855 | x | = | 27984 571 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 27984 571 | ÷ | 523 2855 |
| = | 27984 571 | × | 2855 523 |
We obtained :
| x | = | 79894320 298633 |
Convert the result to decimal form :
| x | = | 267.533461 |