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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 (0.47-x)/0.45 = (1.53-x)/1.37 .
Question type: Equation
Solution:Original question:
| ( | 47 100 | − | x | ) | ÷ | 9 20 | = | ( | 153 100 | − | x | ) | ÷ | 137 100 |
| Left side of the equation = | 47 100 | × | 20 9 | − | x | × | 20 9 |
| = | 47 45 | − | x | × | 20 9 |
47 45 | − | 20 9 | x | = | ( | 153 100 | − | x | ) | ÷ | 137 100 |
| Right side of the equation = | 153 100 | × | 100 137 | − | x | × | 100 137 |
| = | 153 137 | − | x | × | 100 137 |
47 45 | − | 20 9 | x | = | 153 137 | − | 100 137 | x |
Transposition :
| - | 20 9 | x | + | 100 137 | x | = | 153 137 | − | 47 45 |
Combine the items on the left of the equation:
| - | 1840 1233 | x | = | 153 137 | − | 47 45 |
Combine the items on the right of the equation:
| - | 1840 1233 | x | = | 446 6165 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 446 6165 | = | 1840 1233 | 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 :
1840 1233 | x | = | - | 446 6165 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 446 6165 | ÷ | 1840 1233 |
| = | - | 446 6165 | × | 1233 1840 |
| = | - | 223 685 | × | 137 920 |
We obtained :
| x | = | - | 30551 630200 |
By reducing fraction, we can get:
| x | = | - | 223 4600 |
Convert the result to decimal form :
| x | = | - 0.048478 |