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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 x = 7083.29+83.3+416.67+(x/1.06*0.06+x/1.06*0.06*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 708329 100 | + | 833 10 | + | 41667 100 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 379163 50 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| x | = | 379163 50 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 379163 50 | + | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 |
| = | 379163 50 | + | x | × | 3 53 | + | x | × | 3 530 |
| = | 379163 50 | + | 1749 28090 | x |
| x | = | 379163 50 | + | 1749 28090 | x |
Transposition :
| x | − | 1749 28090 | x | = | 379163 50 |
Combine the items on the left of the equation:
497 530 | x | = | 379163 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 379163 50 | ÷ | 497 530 |
| = | 379163 50 | × | 530 497 |
| = | 379163 5 | × | 53 497 |
We obtained :
| x | = | 20095639 2485 |
Convert the result to decimal form :
| x | = | 8086.776258 |