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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/117.7+(1-x)/46.02 = 1/99.66 .
Question type: Equation
Solution:Original question:
| x | ÷ | 1177 10 | + | ( | 1 | − | x | ) | ÷ | 2301 50 | = | 1 | ÷ | 4983 50 |
| Left side of the equation = | 10 1177 | x | + | 1 | × | 50 2301 | − | x | × | 50 2301 |
| = | 10 1177 | x | + | 50 2301 | − | x | × | 50 2301 |
| = | - | 35840 2708277 | x | + | 50 2301 |
| - | 35840 2708277 | x | + | 50 2301 | = | 1 | ÷ | 4983 50 |
| Right side of the equation = | 50 4983 |
| - | 35840 2708277 | x | + | 50 2301 | = | 50 4983 |
Transposition :
| - | 35840 2708277 | x | = | 50 4983 | − | 50 2301 |
Combine the items on the right of the equation:
| - | 35840 2708277 | x | = | - | 14900 1273987 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
14900 1273987 | = | 35840 2708277 | 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 :
35840 2708277 | x | = | 14900 1273987 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14900 1273987 | ÷ | 35840 2708277 |
| = | 14900 1273987 | × | 2708277 35840 |
| = | 745 151 | × | 321 1792 |
We obtained :
| x | = | 239145 270592 |
Convert the result to decimal form :
| x | = | 0.883784 |