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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 (0.5*2.318+5*x)/(2.318+x)-0.7 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 2 | × | 1159 500 | + | 5 | x | ) | ÷ | ( | 1159 500 | + | x | ) | − | 7 10 | = | 0 |
| Multiply both sides of the equation by: | ( | 1159 500 | + | x | ) |
| ( | 1 2 | × | 1159 500 | + | 5 | x | ) | − | 7 10 | ( | 1159 500 | + | x | ) | = | 0 |
1 2 | × | 1159 500 | + | 5 | x | − | 7 10 | ( | 1159 500 | + | x | ) | = | 0 |
1159 1000 | + | 5 | x | − | 7 10 | ( | 1159 500 | + | x | ) | = | 0 |
1159 1000 | + | 5 | x | − | 7 10 | × | 1159 500 | − | 7 10 | x | = | 0 |
1159 1000 | + | 5 | x | − | 8113 5000 | − | 7 10 | x | = | 0 |
| - | 1159 2500 | + | 43 10 | x | = | 0 |
Transposition :
43 10 | x | = | 0 | + | 1159 2500 |
Combine the items on the right of the equation:
43 10 | x | = | 1159 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1159 2500 | ÷ | 43 10 |
| = | 1159 2500 | × | 10 43 |
| = | 1159 250 | × | 1 43 |
We obtained :
| x | = | 1159 10750 |
Convert the result to decimal form :
| x | = | 0.107814 |