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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/1.13*0.13+(100-x)/1.03*0.03 = 100/1.09*0.09 .
Question type: Equation
Solution:Original question:
| x | ÷ | 113 100 | × | 13 100 | + | ( | 100 | − | x | ) | ÷ | 103 100 | × | 3 100 | = | 100 | ÷ | 109 100 | × | 9 100 |
| Left side of the equation = | x | × | 13 113 | + | ( | 100 | − | x | ) | × | 3 103 |
13 113 | x | + | ( | 100 | − | x | ) | × | 3 103 | = | 100 | ÷ | 109 100 | × | 9 100 |
| Left side of the equation = | 13 113 | x | + | 100 | × | 3 103 | − | x | × | 3 103 |
| = | 13 113 | x | + | 300 103 | − | x | × | 3 103 |
| = | 1000 11639 | x | + | 300 103 |
1000 11639 | x | + | 300 103 | = | 100 | ÷ | 109 100 | × | 9 100 |
| Right side of the equation = | 900 109 |
1000 11639 | x | + | 300 103 | = | 900 109 |
Transposition :
1000 11639 | x | = | 900 109 | − | 300 103 |
Combine the items on the right of the equation:
1000 11639 | x | = | 60000 11227 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 60000 11227 | ÷ | 1000 11639 |
| = | 60000 11227 | × | 11639 1000 |
| = | 60 109 | × | 113 |
We obtained :
| x | = | 6780 109 |
Convert the result to decimal form :
| x | = | 62.201835 |