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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 （1278+967x)*1.055 = 1033(1+x）+311 .
Question type: Equation
Solution:Original question:
| ( | 1278 | + | 967 | x | ) | × | 211 200 | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Left side of the equation = | 1278 | × | 211 200 | + | 967 | x | × | 211 200 |
| = | 134829 100 | + | 204037 200 | x |
134829 100 | + | 204037 200 | x | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Right side of the equation = | 1033 | × | 1 | + | 1033 | x | + | 311 |
| = | 1033 | + | 1033 | x | + | 311 |
| = | 1344 | + | 1033 | x |
134829 100 | + | 204037 200 | x | = | 1344 | + | 1033 | x |
Transposition :
204037 200 | x | − | 1033 | x | = | 1344 | − | 134829 100 |
Combine the items on the left of the equation:
| - | 2563 200 | x | = | 1344 | − | 134829 100 |
Combine the items on the right of the equation:
| - | 2563 200 | x | = | - | 429 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
429 100 | = | 2563 200 | 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 :
2563 200 | x | = | 429 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 429 100 | ÷ | 2563 200 |
| = | 429 100 | × | 200 2563 |
| = | 39 | × | 2 233 |
We obtained :
| x | = | 78 233 |
Convert the result to decimal form :
| x | = | 0.334764 |