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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 2*43.065+x*29.5 = (x+2)*31.46 .
Question type: Equation
Solution:Original question:
| 2 | × | 8613 200 | + | x | × | 59 2 | = | ( | x | + | 2 | ) | × | 1573 50 |
| Left side of the equation = | 8613 100 | + | x | × | 59 2 |
8613 100 | + | 59 2 | x | = | ( | x | + | 2 | ) | × | 1573 50 |
| Right side of the equation = | x | × | 1573 50 | + | 2 | × | 1573 50 |
| = | x | × | 1573 50 | + | 1573 25 |
8613 100 | + | 59 2 | x | = | 1573 50 | x | + | 1573 25 |
Transposition :
59 2 | x | − | 1573 50 | x | = | 1573 25 | − | 8613 100 |
Combine the items on the left of the equation:
| - | 49 25 | x | = | 1573 25 | − | 8613 100 |
Combine the items on the right of the equation:
| - | 49 25 | x | = | - | 2321 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2321 100 | = | 49 25 | 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 :
49 25 | x | = | 2321 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2321 100 | ÷ | 49 25 |
| = | 2321 100 | × | 25 49 |
| = | 2321 4 | × | 1 49 |
We obtained :
| x | = | 2321 196 |
Convert the result to decimal form :
| x | = | 11.841837 |