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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/18+(1-x)/65] = 0.01967005 .
Question type: Equation
Solution:Original question:
| ( | x | ÷ | 18 | + | ( | 1 | − | x | ) | ÷ | 65 | ) | = | 393401 20000000 |
| Left side of the equation = | x | ÷ | 18 | + | ( | 1 | − | x | ) | ÷ | 65 |
| = | 1 18 | x | + | 1 | × | 1 65 | − | x | × | 1 65 |
| = | 1 18 | x | + | 1 65 | − | x | × | 1 65 |
| = | 47 1170 | x | + | 1 65 |
47 1170 | x | + | 1 65 | = | 393401 20000000 |
Transposition :
47 1170 | x | = | 393401 20000000 | − | 1 65 |
Combine the items on the right of the equation:
47 1170 | x | = | 1114213 260000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1114213 260000000 | ÷ | 47 1170 |
| = | 1114213 260000000 | × | 1170 47 |
| = | 1114213 26000000 | × | 117 47 |
We obtained :
| x | = | 130362921 1222000000 |
By reducing fraction, we can get:
| x | = | 10027917 94000000 |
Convert the result to decimal form :
| x | = | 0.10668 |