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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 86.9/（100-x）-1 = 8.69/145.74 .
Question type: Equation
Solution:Original question:
869 10 | ÷ | ( | 100 | − | x | ) | − | 1 | = | 869 100 | ÷ | 7287 50 |
| Multiply both sides of the equation by: | ( | 100 | − | x | ) |
869 10 | − | 1 | ( | 100 | − | x | ) | = | 869 100 | ÷ | 7287 50 | × | ( | 100 | − | x | ) |
869 10 | − | 1 | × | 100 | + | 1 | x | = | 869 100 | ÷ | 7287 50 | × | ( | 100 | − | x | ) |
869 10 | − | 1 | × | 100 | + | 1 | x | = | 869 100 | ÷ | 7287 50 | × | 100 | − | 869 100 | ÷ | 7287 50 | × | x |
869 10 | − | 100 | + | 1 | x | = | 43450 7287 | − | 869 14574 | x |
| - | 131 10 | + | 1 | x | = | 43450 7287 | − | 869 14574 | x |
Transposition :
| 1 | x | + | 869 14574 | x | = | 43450 7287 | + | 131 10 |
Combine the items on the left of the equation:
15443 14574 | x | = | 43450 7287 | + | 131 10 |
Combine the items on the right of the equation:
15443 14574 | x | = | 1389097 72870 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1389097 72870 | ÷ | 15443 14574 |
| = | 1389097 72870 | × | 14574 15443 |
| = | 1389097 1735 | × | 347 15443 |
We obtained :
| x | = | 482016659 26793605 |
By reducing fraction, we can get:
| x | = | 1389097 77215 |
Convert the result to decimal form :
| x | = | 17.989989 |