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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 (1091.6/1.09*0.09-(1091.6/1.09-x)*0.06) = x .
Question type: Equation
Solution:Original question:
| ( | 5458 5 | ÷ | 109 100 | × | 9 100 | − | ( | 5458 5 | ÷ | 109 100 | − | x | ) | × | 3 50 | ) | = | x |
| Left side of the equation = | 5458 5 | ÷ | 109 100 | × | 9 100 | − | ( | 5458 5 | ÷ | 109 100 | − | x | ) | × | 3 50 |
| = | 49122 545 | − | ( | 5458 5 | ÷ | 109 100 | − | x | ) | × | 3 50 |
| = | 49122 545 | − | 5458 5 | ÷ | 109 100 | × | 3 50 | + | x | × | 3 50 |
| = | 49122 545 | − | 32748 545 | + | x | × | 3 50 |
| = | 16374 545 | + | 3 50 | x |
16374 545 | + | 3 50 | x | = | x |
Transposition :
3 50 | x | − | x | = | - | 16374 545 |
Combine the items on the left of the equation:
| - | 47 50 | x | = | - | 16374 545 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
16374 545 | = | 47 50 | 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 :
47 50 | x | = | 16374 545 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16374 545 | ÷ | 47 50 |
| = | 16374 545 | × | 50 47 |
| = | 16374 109 | × | 10 47 |
We obtained :
| x | = | 163740 5123 |
Convert the result to decimal form :
| x | = | 31.961741 |