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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 2.00744（x-20） = 0.18044（438-x） .
Question type: Equation
Solution:Original question:
25093 12500 | ( | x | − | 20 | ) | = | 4511 25000 | ( | 438 | − | x | ) |
| Left side of the equation = | 25093 12500 | x | − | 25093 12500 | × | 20 |
| = | 25093 12500 | x | − | 25093 625 |
25093 12500 | x | − | 25093 625 | = | 4511 25000 | ( | 438 | − | x | ) |
| Right side of the equation = | 4511 25000 | × | 438 | − | 4511 25000 | x |
| = | 987909 12500 | − | 4511 25000 | x |
25093 12500 | x | − | 25093 625 | = | 987909 12500 | − | 4511 25000 | x |
Transposition :
25093 12500 | x | + | 4511 25000 | x | = | 987909 12500 | + | 25093 625 |
Combine the items on the left of the equation:
54697 25000 | x | = | 987909 12500 | + | 25093 625 |
Combine the items on the right of the equation:
54697 25000 | x | = | 1489769 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1489769 12500 | ÷ | 54697 25000 |
| = | 1489769 12500 | × | 25000 54697 |
| = | 1489769 | × | 2 54697 |
We obtained :
| x | = | 2979538 54697 |
Convert the result to decimal form :
| x | = | 54.473518 |