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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/1.01*0.01*1.12+(200000-x) = 200000/1.06*0.06*1.12 .
Question type: Equation
Solution:Original question:
| x | ÷ | 101 100 | × | 1 100 | × | 28 25 | + | ( | 200000 | − | x | ) | = | 200000 | ÷ | 53 50 | × | 3 50 | × | 28 25 |
| Left side of the equation = | x | × | 28 2525 | + | ( | 200000 | − | x | ) |
28 2525 | x | + | ( | 200000 | − | x | ) | = | 200000 | ÷ | 53 50 | × | 3 50 | × | 28 25 |
| Left side of the equation = | 28 2525 | x | + | 200000 | − | x |
| = | - | 2497 2525 | x | + | 200000 |
| - | 2497 2525 | x | + | 200000 | = | 200000 | ÷ | 53 50 | × | 3 50 | × | 28 25 |
| Right side of the equation = | 672000 53 |
| - | 2497 2525 | x | + | 200000 | = | 672000 53 |
Transposition :
| - | 2497 2525 | x | = | 672000 53 | − | 200000 |
Combine the items on the right of the equation:
| - | 2497 2525 | x | = | - | 9928000 53 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9928000 53 | = | 2497 2525 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
2497 2525 | x | = | 9928000 53 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9928000 53 | ÷ | 2497 2525 |
| = | 9928000 53 | × | 2525 2497 |
We obtained :
| x | = | 25068200000 132341 |