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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 (1.205-x)*(30-29.3) = (x-1.165)*9.3 .
Question type: Equation
Solution:Original question:
| ( | 241 200 | − | x | ) | ( | 30 | − | 293 10 | ) | = | ( | x | − | 233 200 | ) | × | 93 10 |
| Left side of the equation = | 241 200 | ( | 30 | − | 293 10 | ) | − | x | ( | 30 | − | 293 10 | ) |
| = | 241 200 | × | 30 | − | 241 200 | × | 293 10 | − | x | ( | 30 | − | 293 10 | ) |
| = | 723 20 | − | 70613 2000 | − | x | ( | 30 | − | 293 10 | ) |
| = | 1687 2000 | − | x | ( | 30 | − | 293 10 | ) |
| = | 1687 2000 | − | x | × | 30 | + | x | × | 293 10 |
| = | 1687 2000 | − | 7 10 | x |
1687 2000 | − | 7 10 | x | = | ( | x | − | 233 200 | ) | × | 93 10 |
| Right side of the equation = | x | × | 93 10 | − | 233 200 | × | 93 10 |
| = | x | × | 93 10 | − | 21669 2000 |
1687 2000 | − | 7 10 | x | = | 93 10 | x | − | 21669 2000 |
Transposition :
| - | 7 10 | x | − | 93 10 | x | = | - | 21669 2000 | − | 1687 2000 |
Combine the items on the left of the equation:
| - | 10 | x | = | - | 21669 2000 | − | 1687 2000 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 5839 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5839 500 | = | 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 | = | 5839 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5839 500 | ÷ | 10 |
| = | 5839 500 | × | 1 10 |
We obtained :
| x | = | 5839 5000 |
Convert the result to decimal form :
| x | = | 1.1678 |