Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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+60-277.6)÷(277.6+60) = (x+60-285)/285 .
Question type: Equation
Solution:Original question:
| ( | x | + | 60 | − | 1388 5 | ) | ÷ | ( | 1388 5 | + | 60 | ) | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 |
| Multiply both sides of the equation by: | ( | 1388 5 | + | 60 | ) |
| ( | x | + | 60 | − | 1388 5 | ) | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 | × | ( | 1388 5 | + | 60 | ) |
| x | + | 60 | − | 1388 5 | = | ( | x | + | 60 | − | 285 | ) | ÷ | 285 | × | ( | 1388 5 | + | 60 | ) |
| x | + | 60 | − | 1388 5 | = | x | ÷ | 285 | × | ( | 1388 5 | + | 60 | ) | + | 60 | ÷ | 285 | × | ( | 1388 5 | + | 60 | ) | − | 285 | ÷ | 285 | × | ( | 1388 5 | + | 60 | ) |
| x | + | 60 | − | 1388 5 | = | x | × | 1 285 | ( | 1388 5 | + | 60 | ) | + | 4 19 | ( | 1388 5 | + | 60 | ) | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | x | × | 1 285 | ( | 1388 5 | + | 60 | ) | + | 4 19 | ( | 1388 5 | + | 60 | ) | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | x | × | 1 285 | × | 1388 5 | + | x | × | 1 285 | × | 60 | + | 4 19 | ( | 1388 5 | + | 60 | ) | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | x | × | 1388 1425 | + | x | × | 4 19 | + | 4 19 | ( | 1388 5 | + | 60 | ) | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | 1688 1425 | x | + | 4 19 | ( | 1388 5 | + | 60 | ) | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | 1688 1425 | x | + | 4 19 | × | 1388 5 | + | 4 19 | × | 60 | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | 1688 1425 | x | + | 5552 95 | + | 240 19 | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | 1688 1425 | x | + | 6752 95 | − | 1 | ( | 1388 5 | + | 60 | ) |
| x | − | 1088 5 | = | 1688 1425 | x | + | 6752 95 | − | 1 | × | 1388 5 | − | 1 | × | 60 |
| x | − | 1088 5 | = | 1688 1425 | x | + | 6752 95 | − | 1388 5 | − | 60 |
| x | − | 1088 5 | = | 1688 1425 | x | − | 5064 19 |
Transposition :
| x | − | 1688 1425 | x | = | - | 5064 19 | + | 1088 5 |
Combine the items on the left of the equation:
| - | 263 1425 | x | = | - | 5064 19 | + | 1088 5 |
Combine the items on the right of the equation:
| - | 263 1425 | x | = | - | 4648 95 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4648 95 | = | 263 1425 | 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 :
263 1425 | x | = | 4648 95 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4648 95 | ÷ | 263 1425 |
| = | 4648 95 | × | 1425 263 |
| = | 4648 | × | 15 263 |
We obtained :
| x | = | 69720 263 |
Convert the result to decimal form :
| x | = | 265.095057 |