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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/10.159 = (x+60)/10.254 .
Question type: Equation
Solution:Original question:
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left 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 x/10.159 = (x+60)/10.254 .
Question type: Equation
Solution:Original question:
| x | ÷ | 10159 1000 | = | ( | x | + | 60 | ) | ÷ | 5127 500 |
| Right side of the equation = | x | × | 500 5127 | + | 60 | × | 500 5127 |
| = | x | × | 500 5127 | + | 10000 1709 |
1000 10159 | x | = | 500 5127 | x | + | 10000 1709 |
Transposition :
1000 10159 | x | − | 500 5127 | x | = | 10000 1709 |
Combine the items on the left of the equation:
47500 52085193 | x | = | 10000 1709 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10000 1709 | ÷ | 47500 52085193 |
| = | 10000 1709 | × | 52085193 47500 |
| = | 4 1709 | × | 52085193 19 |
We obtained :
| x | = | 208340772 32471 |
Convert the result to decimal form :
| x | = | 6416.210526 |