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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 158-x-2-（158-x-2）*0.17 = 69 .
Question type: Equation
Solution:Original question:
| 158 | − | x | − | 2 | − | ( | 158 | − | x | − | 2 | ) | × | 17 100 | = | 69 |
| Left side of the equation = | 156 | − | x | − | ( | 158 | − | x | − | 2 | ) | × | 17 100 |
| 156 | − | x | − | ( | 158 | − | x | − | 2 | ) | × | 17 100 | = | 69 |
| Left side of the equation = | 156 | − | x | − | 158 | × | 17 100 | + | x | × | 17 100 | + | 2 | × | 17 100 |
| = | 156 | − | x | − | 1343 50 | + | x | × | 17 100 | + | 17 50 |
| = | 3237 25 | − | 83 100 | x |
3237 25 | − | 83 100 | x | = | 69 |
Transposition :
| - | 83 100 | x | = | 69 | − | 3237 25 |
Combine the items on the right of the equation:
| - | 83 100 | x | = | - | 1512 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1512 25 | = | 83 100 | 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 :
83 100 | x | = | 1512 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1512 25 | ÷ | 83 100 |
| = | 1512 25 | × | 100 83 |
| = | 1512 | × | 4 83 |
We obtained :
| x | = | 6048 83 |
Convert the result to decimal form :
| x | = | 72.86747 |