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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 8.64 = 7.91*【1+（11854-X）/X】 .
Question type: Equation
Solution:Original question:
216 25 | = | 791 100 | ( | 1 | + | ( | 11854 | − | X | ) | ÷ | X | ) |
216 25 | = | 791 100 | × | 1 | + | 791 100 | ( | 11854 | − | X | ) | ÷ | X |
216 25 | = | 791 100 | + | 791 100 | ( | 11854 | − | X | ) | ÷ | X |
| Multiply both sides of the equation by: | X |
216 25 | X | = | 791 100 | X | + | 791 100 | ( | 11854 | − | X | ) |
216 25 | X | = | 791 100 | X | + | 791 100 | × | 11854 | − | 791 100 | X |
216 25 | X | = | 791 100 | X | + | 4688257 50 | − | 791 100 | X |
216 25 | X | = | 0 | X | + | 4688257 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4688257 50 | ÷ | 216 25 |
| = | 4688257 50 | × | 25 216 |
| = | 4688257 2 | × | 1 216 |
We obtained :
| X | = | 4688257 432 |
Convert the result to decimal form :
| X | = | 10852.446759 |