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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 0.09*x/1.09+0.09*x/1.09*0.125+x/1.09*0.121+392400+(x/1.09-0.09*x/1.09*0.125-x/1.09*0.121-392400)*0.25+11166666.67 = x .
Question type: Equation
Solution:Original question:
9 100 | x | ÷ | 109 100 | + | 9 100 | x | ÷ | 109 100 | × | 1 8 | + | x | ÷ | 109 100 | × | 121 1000 | + | 392400 | + | ( | x | ÷ | 109 100 | − | 9 100 | x | ÷ | 109 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 121 1000 | − | 392400 | ) | = | x |
| Left side of the equation = | 9 109 | x | + | 9 872 | x | + | x | × | 121 1090 | + | 392400 | + | ( | x | ÷ | 109 100 | − | 9 100 | x | ÷ | 109 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 121 1000 | − | 392400 | ) | × | 1 4 | + | 1116666667 100 |
| = | 889 4360 | x | + | 1155906667 100 | + | ( | x | ÷ | 109 100 | − | 9 100 | x | ÷ | 109 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 121 1000 | − | 392400 | ) | × | 1 4 |
889 4360 | x | + | 1155906667 100 | + | ( | x | ÷ | 109 100 | − | 9 100 | x | ÷ | 109 100 | × | 1 8 | − | x | ÷ | 109 100 | × | 121 1000 | − | 392400 | ) | × | 1 4 | = | x |
| Left side of the equation = | 889 4360 | x | + | 1155906667 100 | + | x | ÷ | 109 100 | × | 1 4 | − | 9 100 | x | ÷ | 109 100 | × | 1 8 | × | 1 4 | − | x |
| = | 889 4360 | x | + | 1155906667 100 | + | x | × | 25 109 | − | 9 3488 | x | − | x | × | 121 4360 | − | 98100 |
| = | 7027 17440 | x | + | 1146096667 100 |
7027 17440 | x | + | 1146096667 100 | = | x |
Transposition :
7027 17440 | x | − | x | = | - | 1146096667 100 |
Combine the items on the left of the equation:
| - | 10413 17440 | x | = | - | 1146096667 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1146096667 100 | = | 10413 17440 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
10413 17440 | x | = | 1146096667 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1146096667 100 | ÷ | 10413 17440 |
| = | 1146096667 100 | × | 17440 10413 |
| = | 1146096667 5 | × | 872 10413 |
We obtained :
| x | = | 999396293624 52065 |