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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)*1.0578 = 1033(1+x）+311 .
Question type: Equation
Solution:Original question:
| ( | 1278 | + | 967 | x | ) | × | 5289 5000 | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Left side of the equation = | 1278 | × | 5289 5000 | + | 967 | x | × | 5289 5000 |
| = | 3379671 2500 | + | 5114463 5000 | x |
3379671 2500 | + | 5114463 5000 | x | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Right side of the equation = | 1033 | × | 1 | + | 1033 | x | + | 311 |
| = | 1033 | + | 1033 | x | + | 311 |
| = | 1344 | + | 1033 | x |
3379671 2500 | + | 5114463 5000 | x | = | 1344 | + | 1033 | x |
Transposition :
5114463 5000 | x | − | 1033 | x | = | 1344 | − | 3379671 2500 |
Combine the items on the left of the equation:
| - | 50537 5000 | x | = | 1344 | − | 3379671 2500 |
Combine the items on the right of the equation:
| - | 50537 5000 | x | = | - | 19671 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
19671 2500 | = | 50537 5000 | 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 :
50537 5000 | x | = | 19671 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 19671 2500 | ÷ | 50537 5000 |
| = | 19671 2500 | × | 5000 50537 |
| = | 19671 | × | 2 50537 |
We obtained :
| x | = | 39342 50537 |
Convert the result to decimal form :
| x | = | 0.778479 |