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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 x1.2*0.9+(3600-x)*0.15*0.9-3600 = 198 .
Question type: Equation
Solution:Original question:
| x | × | 6 5 | × | 9 10 | + | ( | 3600 | − | x | ) | × | 3 20 | × | 9 10 | − | 3600 | = | 198 |
| Left side of the equation = | x | × | 27 25 | + | ( | 3600 | − | x | ) | × | 27 200 | − | 3600 |
27 25 | x | + | ( | 3600 | − | x | ) | × | 27 200 | − | 3600 | = | 198 |
| Left side of the equation = | 27 25 | x | + | 3600 | × | 27 200 | − | x | × | 27 200 | − | 3600 |
| = | 27 25 | x | + | 486 | − | x | × | 27 200 | − | 3600 |
| = | 189 200 | x | − | 3114 |
189 200 | x | − | 3114 | = | 198 |
Transposition :
189 200 | x | = | 198 | + | 3114 |
Combine the items on the right of the equation:
189 200 | x | = | 3312 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3312 | ÷ | 189 200 |
| = | 3312 | × | 200 189 |
| = | 368 | × | 200 21 |
We obtained :
| x | = | 73600 21 |
Convert the result to decimal form :
| x | = | 3504.761905 |