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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 10-A = (125-A）×0.3434÷（1+5%） .
Question type: Equation
Solution:Original question:
| 10 | − | A | = | ( | 125 | − | A | ) | × | 1717 5000 | ÷ | ( | 1 | + | 5 100 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 5 100 | ) |
| 10 | ( | 1 | + | 5 100 | ) | − | A | ( | 1 | + | 5 100 | ) | = | ( | 125 | − | A | ) | × | 1717 5000 |
| 10 | × | 1 | + | 10 | × | 5 100 | − | A | ( | 1 | + | 5 100 | ) | = | ( | 125 | − | A | ) | × | 1717 5000 |
| 10 | × | 1 | + | 10 | × | 5 100 | − | A | ( | 1 | + | 5 100 | ) | = | 125 | × | 1717 5000 | − | A | × | 1717 5000 |
| 10 | + | 1 2 | − | A | ( | 1 | + | 5 100 | ) | = | 1717 40 | − | A | × | 1717 5000 |
21 2 | − | A | ( | 1 | + | 5 100 | ) | = | 1717 40 | − | 1717 5000 | A |
21 2 | − | A | × | 1 | − | A | × | 5 100 | = | 1717 40 | − | 1717 5000 | A |
21 2 | − | 21 20 | A | = | 1717 40 | − | 1717 5000 | A |
Transposition :
| - | 21 20 | A | + | 1717 5000 | A | = | 1717 40 | − | 21 2 |
Combine the items on the left of the equation:
| - | 3533 5000 | A | = | 1717 40 | − | 21 2 |
Combine the items on the right of the equation:
| - | 3533 5000 | A | = | 1297 40 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 1297 40 | = | 3533 5000 | 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 :
3533 5000 | A | = | - | 1297 40 |
The coefficient of the unknown number is reduced to 1 :
| A | = | - | 1297 40 | ÷ | 3533 5000 |
| = | - | 1297 40 | × | 5000 3533 |
| = | - | 1297 | × | 125 3533 |
We obtained :
| A | = | - | 162125 3533 |
Convert the result to decimal form :
| A | = | - 45.888763 |