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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）÷（78652+X） = 99.73 .
Question type: Equation
Solution:Original question:
| ( | 78652 | + | 100 | X | ) | ÷ | ( | 78652 | + | X | ) | = | 9973 100 |
| Multiply both sides of the equation by: | ( | 78652 | + | X | ) |
| ( | 78652 | + | 100 | X | ) | = | 9973 100 | ( | 78652 | + | X | ) |
| 78652 | + | 100 | X | = | 9973 100 | ( | 78652 | + | X | ) |
| 78652 | + | 100 | X | = | 9973 100 | × | 78652 | + | 9973 100 | X |
| 78652 | + | 100 | X | = | 196099099 25 | + | 9973 100 | X |
Transposition :
| 100 | X | − | 9973 100 | X | = | 196099099 25 | − | 78652 |
Combine the items on the left of the equation:
27 100 | X | = | 196099099 25 | − | 78652 |
Combine the items on the right of the equation:
27 100 | X | = | 194132799 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 194132799 25 | ÷ | 27 100 |
| = | 194132799 25 | × | 100 27 |
| = | 21570311 | × | 4 3 |
We obtained :
| X | = | 86281244 3 |
Convert the result to decimal form :
| X | = | 28760414.666666999 |