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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 （21.16+x）*0.005 = 1.05x .
Question type: Equation
Solution:Original question:
| ( | 529 25 | + | x | ) | × | 1 200 | = | 21 20 | x |
| Left side of the equation = | 529 25 | × | 1 200 | + | x | × | 1 200 |
| = | 529 5000 | + | x | × | 1 200 |
529 5000 | + | 1 200 | x | = | 21 20 | x |
Transposition :
1 200 | x | − | 21 20 | x | = | - | 529 5000 |
Combine the items on the left of the equation:
| - | 209 200 | x | = | - | 529 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
529 5000 | = | 209 200 | 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 :
209 200 | x | = | 529 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 529 5000 | ÷ | 209 200 |
| = | 529 5000 | × | 200 209 |
| = | 529 25 | × | 1 209 |
We obtained :
| x | = | 529 5225 |
Convert the result to decimal form :
| x | = | 0.101244 |