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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 （5/89.7）*x = (18.2017-x)/4 .
Question type: Equation
Solution:Original question:
| ( | 5 | ÷ | 897 10 | ) | x | = | ( | 182017 10000 | − | x | ) | ÷ | 4 |
| Left side of the equation = | 5 | ÷ | 897 10 | × | x |
| = | 50 897 | x |
50 897 | x | = | ( | 182017 10000 | − | x | ) | ÷ | 4 |
| Right side of the equation = | 182017 10000 | × | 1 4 | − | x | × | 1 4 |
| = | 182017 40000 | − | x | × | 1 4 |
50 897 | x | = | 182017 40000 | − | 1 4 | x |
Transposition :
50 897 | x | + | 1 4 | x | = | 182017 40000 |
Combine the items on the left of the equation:
1097 3588 | x | = | 182017 40000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 182017 40000 | ÷ | 1097 3588 |
| = | 182017 40000 | × | 3588 1097 |
| = | 182017 10000 | × | 897 1097 |
We obtained :
| x | = | 163269249 10970000 |
Convert the result to decimal form :
| x | = | 14.88325 |