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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 15/102+1/45+X/1000+（76.4-X）/1650 = 0.314 .
Question type: Equation
Solution:Original question:
| 15 | ÷ | 102 | + | 1 | ÷ | 45 | + | X | ÷ | 1000 | + | ( | 382 5 | − | X | ) | ÷ | 1650 | = | 157 500 |
| Left side of the equation = | 5 34 | + | 1 45 | + | X | × | 1 1000 | + | ( | 382 5 | − | X | ) | × | 1 1650 |
| = | 259 1530 | + | 1 1000 | X | + | ( | 382 5 | − | X | ) | × | 1 1650 |
259 1530 | + | 1 1000 | X | + | ( | 382 5 | − | X | ) | × | 1 1650 | = | 157 500 |
| Left side of the equation = | 259 1530 | + | 1 1000 | X | + | 382 5 | × | 1 1650 | − | X | × | 1 1650 |
| = | 259 1530 | + | 1 1000 | X | + | 191 4125 | − | X | × | 1 1650 |
| = | 90707 420750 | + | 13 33000 | X |
90707 420750 | + | 13 33000 | X | = | 157 500 |
Transposition :
13 33000 | X | = | 157 500 | − | 90707 420750 |
Combine the items on the right of the equation:
13 33000 | X | = | 82817 841500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 82817 841500 | ÷ | 13 33000 |
| = | 82817 841500 | × | 33000 13 |
| = | 82817 51 | × | 2 13 |
We obtained :
| X | = | 165634 663 |
Convert the result to decimal form :
| X | = | 249.825038 |