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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*235.0439+（1-x）*238.0508 = 238.0289 .
Question type: Equation
Solution:Original question:
| x | × | 2350439 10000 | + | ( | 1 | − | x | ) | × | 595127 2500 | = | 2380289 10000 |
| Left side of the equation = | 2350439 10000 | x | + | 1 | × | 595127 2500 | − | x | × | 595127 2500 |
| = | 2350439 10000 | x | + | 595127 2500 | − | x | × | 595127 2500 |
| = | - | 30069 10000 | x | + | 595127 2500 |
| - | 30069 10000 | x | + | 595127 2500 | = | 2380289 10000 |
Transposition :
| - | 30069 10000 | x | = | 2380289 10000 | − | 595127 2500 |
Combine the items on the right of the equation:
| - | 30069 10000 | x | = | - | 219 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
219 10000 | = | 30069 10000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
30069 10000 | x | = | 219 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 219 10000 | ÷ | 30069 10000 |
| = | 219 10000 | × | 10000 30069 |
| = | 73 | × | 1 10023 |
We obtained :
| x | = | 73 10023 |
Convert the result to decimal form :
| x | = | 0.007283 |