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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 (128.1*x)/56.08+225.4*(1-x)/153.3 = 5.0123/2.256 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (128.1*x)/56.08+225.4*(1-x)/153.3 = 5.0123/2.256 .
Question type: Equation
Solution:Original question:
| ( | 1281 10 | x | ) | ÷ | 1402 25 | + | 1127 5 | ( | 1 | − | x | ) | ÷ | 1533 10 | = | 50123 10000 | ÷ | 282 125 |
| Left side of the equation = | ( | 1281 10 | x | ) | × | 25 1402 | + | 322 219 | ( | 1 | − | x | ) |
| ( | 1281 10 | x | ) | × | 25 1402 | + | 322 219 | ( | 1 | − | x | ) | = | 50123 10000 | ÷ | 282 125 |
| Left side of the equation = | 1281 10 | x | × | 25 1402 | + | 322 219 | ( | 1 | − | x | ) |
| = | 6405 2804 | x | + | 322 219 | ( | 1 | − | x | ) |
| = | 6405 2804 | x | + | 322 219 | × | 1 | − | 322 219 | x |
| = | 6405 2804 | x | + | 322 219 | − | 322 219 | x |
| = | 499807 614076 | x | + | 322 219 |
499807 614076 | x | + | 322 219 | = | 50123 10000 | ÷ | 282 125 |
| Right side of the equation = | 50123 22560 |
499807 614076 | x | + | 322 219 | = | 50123 22560 |
Transposition :
499807 614076 | x | = | 50123 22560 | − | 322 219 |
Combine the items on the right of the equation:
499807 614076 | x | = | 412513 548960 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 412513 548960 | ÷ | 499807 614076 |
| = | 412513 548960 | × | 614076 499807 |
| = | 412513 1880 | × | 2103 499807 |
We obtained :
| x | = | 867514839 939637160 |
Convert the result to decimal form :
| x | = | 0.923244 |