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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 1/14.5 = （1-a）/15.77+a/8.9 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 29 2 | = | ( | 1 | − | a | ) | ÷ | 1577 100 | + | a | ÷ | 89 10 |
| Left side of the equation = | 2 29 |
2 29 | = | ( | 1 | − | a | ) | ÷ | 1577 100 | + | a | ÷ | 89 10 |
| Right side of the equation = | 1 | × | 100 1577 | − | a | × | 100 1577 | + | 10 89 | a |
| = | 100 1577 | − | a | × | 100 1577 | + | 10 89 | a |
| = | 100 1577 | + | 6870 140353 | a |
2 29 | = | 100 1577 | + | 6870 140353 | a |
Transposition :
| - | 6870 140353 | a | = | 100 1577 | − | 2 29 |
Combine the items on the right of the equation:
| - | 6870 140353 | a | = | - | 254 45733 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
254 45733 | = | 6870 140353 | a |
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 :
6870 140353 | a | = | 254 45733 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 254 45733 | ÷ | 6870 140353 |
| = | 254 45733 | × | 140353 6870 |
| = | 127 2407 | × | 7387 3435 |
We obtained :
| a | = | 938149 8268045 |
By reducing fraction, we can get:
| a | = | 11303 99615 |
Convert the result to decimal form :
| a | = | 0.113467 |