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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 （78652+100X）÷（789+X） = 99.73483 .
Question type: Equation
Solution:Original question:
| ( | 78652 | + | 100 | X | ) | ÷ | ( | 789 | + | X | ) | = | 9973483 100000 |
| Multiply both sides of the equation by: | ( | 789 | + | X | ) |
| ( | 78652 | + | 100 | X | ) | = | 9973483 100000 | ( | 789 | + | X | ) |
| 78652 | + | 100 | X | = | 9973483 100000 | ( | 789 | + | X | ) |
| 78652 | + | 100 | X | = | 9973483 100000 | × | 789 | + | 9973483 100000 | X |
| 78652 | + | 100 | X | = | 7869078087 100000 | + | 9973483 100000 | X |
Transposition :
| 100 | X | − | 9973483 100000 | X | = | 7869078087 100000 | − | 78652 |
Combine the items on the left of the equation:
26517 100000 | X | = | 7869078087 100000 | − | 78652 |
Combine the items on the right of the equation:
26517 100000 | X | = | 3878087 100000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3878087 100000 | ÷ | 26517 100000 |
| = | 3878087 100000 | × | 100000 26517 |
| = | 3878087 | × | 1 26517 |
We obtained :
| X | = | 3878087 26517 |
Convert the result to decimal form :
| X | = | 146.249085 |