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 (47.85-x)/x = 0.1785 .
Question type: Equation
Solution:Original question:
| ( | 957 20 | − | x | ) | ÷ | x | = | 357 2000 |
| Multiply both sides of the equation by: | x |
| ( | 957 20 | − | x | ) | = | 357 2000 | x |
957 20 | − | x | = | 357 2000 | x |
Transposition :
| - | x | − | 357 2000 | x | = | - | 957 20 |
Combine the items on the left of the equation:
| - | 2357 2000 | x | = | - | 957 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
957 20 | = | 2357 2000 | 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 :
2357 2000 | x | = | 957 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 957 20 | ÷ | 2357 2000 |
| = | 957 20 | × | 2000 2357 |
| = | 957 | × | 100 2357 |
We obtained :
| x | = | 95700 2357 |
Convert the result to decimal form :
| x | = | 40.602461 |