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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 3795.656 = X*（1+0.73）+2X*（1+0.6） .
Question type: Equation
Solution:Original question:
474457 125 | = | X | ( | 1 | + | 73 100 | ) | + | 2 | X | ( | 1 | + | 3 5 | ) |
| Right side of the equation = | X | × | 1 | + | X | × | 73 100 | + | 2 | X | ( | 1 | + | 3 5 | ) |
| = | 173 100 | X | + | 2 | X | ( | 1 | + | 3 5 | ) |
| = | 173 100 | X | + | 2 | X | × | 1 | + | 2 | X | × | 3 5 |
| = | 173 100 | X | + | 2 | X | + | 6 5 | X |
| = | 493 100 | X |
474457 125 | = | 493 100 | X |
Transposition :
| - | 493 100 | X | = | - | 474457 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
474457 125 | = | 493 100 | 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 :
493 100 | X | = | 474457 125 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 474457 125 | ÷ | 493 100 |
| = | 474457 125 | × | 100 493 |
| = | 474457 5 | × | 4 493 |
We obtained :
| X | = | 1897828 2465 |
Convert the result to decimal form :
| X | = | 769.909939 |