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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 (1.128-x)*(50-47.85) = (x-1.093)*7.85 .
Question type: Equation
Solution:Original question:
| ( | 141 125 | − | x | ) | ( | 50 | − | 957 20 | ) | = | ( | x | − | 1093 1000 | ) | × | 157 20 |
| Left side of the equation = | 141 125 | ( | 50 | − | 957 20 | ) | − | x | ( | 50 | − | 957 20 | ) |
| = | 141 125 | × | 50 | − | 141 125 | × | 957 20 | − | x | ( | 50 | − | 957 20 | ) |
| = | 282 5 | − | 134937 2500 | − | x | ( | 50 | − | 957 20 | ) |
| = | 6063 2500 | − | x | ( | 50 | − | 957 20 | ) |
| = | 6063 2500 | − | x | × | 50 | + | x | × | 957 20 |
| = | 6063 2500 | − | 43 20 | x |
6063 2500 | − | 43 20 | x | = | ( | x | − | 1093 1000 | ) | × | 157 20 |
| Right side of the equation = | x | × | 157 20 | − | 1093 1000 | × | 157 20 |
| = | x | × | 157 20 | − | 171601 20000 |
6063 2500 | − | 43 20 | x | = | 157 20 | x | − | 171601 20000 |
Transposition :
| - | 43 20 | x | − | 157 20 | x | = | - | 171601 20000 | − | 6063 2500 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 171601 20000 | − | 6063 2500 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 44021 4000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
44021 4000 | = | 10 | 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 :
| 10 | x | = | 44021 4000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 44021 4000 | ÷ | 10 |
| = | 44021 4000 | × | 1 10 |
We obtained :
| x | = | 44021 40000 |
Convert the result to decimal form :
| x | = | 1.100525 |