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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 x*99.686*4.2-(100-x)*5.82*4.2 = 2.38*5.82*1000 .
Question type: Equation
Solution:Original question:
| x | × | 49843 500 | × | 21 5 | − | ( | 100 | − | x | ) | × | 291 50 | × | 21 5 | = | 119 50 | × | 291 50 | × | 1000 |
| Left side of the equation = | x | × | 1046703 2500 | − | ( | 100 | − | x | ) | × | 6111 250 |
1046703 2500 | x | − | ( | 100 | − | x | ) | × | 6111 250 | = | 119 50 | × | 291 50 | × | 1000 |
| Left side of the equation = | 1046703 2500 | x | − | 100 | × | 6111 250 | + | x | × | 6111 250 |
| = | 1046703 2500 | x | − | 12222 5 | + | x | × | 6111 250 |
| = | 1107813 2500 | x | − | 12222 5 |
1107813 2500 | x | − | 12222 5 | = | 119 50 | × | 291 50 | × | 1000 |
| Right side of the equation = | 69258 5 |
1107813 2500 | x | − | 12222 5 | = | 69258 5 |
Transposition :
1107813 2500 | x | = | 69258 5 | + | 12222 5 |
Combine the items on the right of the equation:
1107813 2500 | x | = | 16296 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16296 | ÷ | 1107813 2500 |
| = | 16296 | × | 2500 1107813 |
| = | 776 | × | 2500 52753 |
We obtained :
| x | = | 1940000 52753 |
Convert the result to decimal form :
| x | = | 36.77516 |