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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/(x+77.92+x×0.678/(1-0.678)) = 0.02 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 1948 25 | + | x | × | 339 500 | ÷ | ( | 1 | − | 339 500 | ) | ) | = | 1 50 |
| Multiply both sides of the equation by: | ( | x | + | 1948 25 | + | x | × | 339 500 | ÷ | ( | 1 | − | 339 500 | ) | ) |
| x | = | 1 50 | ( | x | + | 1948 25 | + | x | × | 339 500 | ÷ | ( | 1 | − | 339 500 | ) | ) |
| x | = | 1 50 | x | + | 1 50 | × | 1948 25 | + | 1 50 | x | × | 339 500 | ÷ | ( | 1 | − | 339 500 | ) |
| x | = | 1 50 | x | + | 974 625 | + | 339 25000 | x | ÷ | ( | 1 | − | 339 500 | ) |
| Multiply both sides of the equation by: | ( | 1 | − | 339 500 | ) |
| x | ( | 1 | − | 339 500 | ) | = | 1 50 | x | ( | 1 | − | 339 500 | ) | + | 974 625 | ( | 1 | − | 339 500 | ) | + | 339 25000 | x |
| x | × | 1 | − | x | × | 339 500 | = | 1 50 | x | ( | 1 | − | 339 500 | ) | + | 974 625 | ( | 1 | − | 339 500 | ) | + | 339 25000 | x |
| x | × | 1 | − | x | × | 339 500 | = | 1 50 | x | × | 1 | − | 1 50 | x | × | 339 500 | + | 974 625 | ( | 1 | − | 339 500 | ) | + | 339 25000 | x |
| x | × | 1 | − | x | × | 339 500 | = | 1 50 | x | − | 339 25000 | x | + | 974 625 | ( | 1 | − | 339 500 | ) | + | 339 25000 | x |
161 500 | x | = | 1 50 | x | + | 974 625 | ( | 1 | − | 339 500 | ) |
161 500 | x | = | 1 50 | x | + | 974 625 | × | 1 | − | 974 625 | × | 339 500 |
161 500 | x | = | 1 50 | x | + | 974 625 | − | 165093 156250 |
161 500 | x | = | 1 50 | x | + | 78407 156250 |
Transposition :
161 500 | x | − | 1 50 | x | = | 78407 156250 |
Combine the items on the left of the equation:
151 500 | x | = | 78407 156250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 78407 156250 | ÷ | 151 500 |
| = | 78407 156250 | × | 500 151 |
| = | 78407 625 | × | 2 151 |
We obtained :
| x | = | 156814 94375 |
Convert the result to decimal form :
| x | = | 1.661605 |