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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 (1.093-x)*(60-50.45) = (x-1.06)*0.45 .
Question type: Equation
Solution:Original question:
| ( | 1093 1000 | − | x | ) | ( | 60 | − | 1009 20 | ) | = | ( | x | − | 53 50 | ) | × | 9 20 |
| Left side of the equation = | 1093 1000 | ( | 60 | − | 1009 20 | ) | − | x | ( | 60 | − | 1009 20 | ) |
| = | 1093 1000 | × | 60 | − | 1093 1000 | × | 1009 20 | − | x | ( | 60 | − | 1009 20 | ) |
| = | 3279 50 | − | 1102837 20000 | − | x | ( | 60 | − | 1009 20 | ) |
| = | 208763 20000 | − | x | ( | 60 | − | 1009 20 | ) |
| = | 208763 20000 | − | x | × | 60 | + | x | × | 1009 20 |
| = | 208763 20000 | − | 191 20 | x |
208763 20000 | − | 191 20 | x | = | ( | x | − | 53 50 | ) | × | 9 20 |
| Right side of the equation = | x | × | 9 20 | − | 53 50 | × | 9 20 |
| = | x | × | 9 20 | − | 477 1000 |
208763 20000 | − | 191 20 | x | = | 9 20 | x | − | 477 1000 |
Transposition :
| - | 191 20 | x | − | 9 20 | x | = | - | 477 1000 | − | 208763 20000 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 477 1000 | − | 208763 20000 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 218303 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
218303 20000 | = | 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 | = | 218303 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 218303 20000 | ÷ | 10 |
| = | 218303 20000 | × | 1 10 |
We obtained :
| x | = | 218303 200000 |
Convert the result to decimal form :
| x | = | 1.091515 |