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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 （39.402+x）×2.05 = 39.402+70.604-x .
Question type: Equation
Solution:Original question:
| ( | 19701 500 | + | x | ) | × | 41 20 | = | 19701 500 | + | 17651 250 | − | x |
| Left side of the equation = | 19701 500 | × | 41 20 | + | x | × | 41 20 |
| = | 807741 10000 | + | x | × | 41 20 |
807741 10000 | + | 41 20 | x | = | 19701 500 | + | 17651 250 | − | x |
| Right side of the equation = | 55003 500 | − | x |
807741 10000 | + | 41 20 | x | = | 55003 500 | − | x |
Transposition :
41 20 | x | + | x | = | 55003 500 | − | 807741 10000 |
Combine the items on the left of the equation:
61 20 | x | = | 55003 500 | − | 807741 10000 |
Combine the items on the right of the equation:
61 20 | x | = | 292319 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 292319 10000 | ÷ | 61 20 |
| = | 292319 10000 | × | 20 61 |
| = | 292319 500 | × | 1 61 |
We obtained :
| x | = | 292319 30500 |
Convert the result to decimal form :
| x | = | 9.58423 |