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 (51.96-x)/x = 0.1547 .
Question type: Equation
Solution:Original question:
| ( | 1299 25 | − | x | ) | ÷ | x | = | 1547 10000 |
| Multiply both sides of the equation by: | x |
| ( | 1299 25 | − | x | ) | = | 1547 10000 | x |
1299 25 | − | x | = | 1547 10000 | x |
Transposition :
| - | x | − | 1547 10000 | x | = | - | 1299 25 |
Combine the items on the left of the equation:
| - | 11547 10000 | x | = | - | 1299 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1299 25 | = | 11547 10000 | 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 :
11547 10000 | x | = | 1299 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1299 25 | ÷ | 11547 10000 |
| = | 1299 25 | × | 10000 11547 |
| = | 433 | × | 400 3849 |
We obtained :
| x | = | 173200 3849 |
Convert the result to decimal form :
| x | = | 44.998701 |