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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/(1.9676-x)*0.3 = 0.71 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 4919 2500 | − | x | ) | × | 3 10 | = | 71 100 |
| Multiply both sides of the equation by: | ( | 4919 2500 | − | x | ) |
| x | × | 3 10 | = | 71 100 | ( | 4919 2500 | − | x | ) |
| x | × | 3 10 | = | 71 100 | × | 4919 2500 | − | 71 100 | x |
| x | × | 3 10 | = | 349249 250000 | − | 71 100 | x |
Transposition :
3 10 | x | + | 71 100 | x | = | 349249 250000 |
Combine the items on the left of the equation:
101 100 | x | = | 349249 250000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 349249 250000 | ÷ | 101 100 |
| = | 349249 250000 | × | 100 101 |
| = | 349249 2500 | × | 1 101 |
We obtained :
| x | = | 349249 252500 |
Convert the result to decimal form :
| x | = | 1.383164 |