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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/107.56+(1-x)/41.59 = 1/99.66 .
Question type: Equation
Solution:Original question:
| x | ÷ | 2689 25 | + | ( | 1 | − | x | ) | ÷ | 4159 100 | = | 1 | ÷ | 4983 50 |
| Left side of the equation = | 25 2689 | x | + | 1 | × | 100 4159 | − | x | × | 100 4159 |
| = | 25 2689 | x | + | 100 4159 | − | x | × | 100 4159 |
| = | - | 164925 11183551 | x | + | 100 4159 |
| - | 164925 11183551 | x | + | 100 4159 | = | 1 | ÷ | 4983 50 |
| Right side of the equation = | 50 4983 |
| - | 164925 11183551 | x | + | 100 4159 | = | 50 4983 |
Transposition :
| - | 164925 11183551 | x | = | 50 4983 | − | 100 4159 |
Combine the items on the right of the equation:
| - | 164925 11183551 | x | = | - | 290350 20724297 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
290350 20724297 | = | 164925 11183551 | 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 :
164925 11183551 | x | = | 290350 20724297 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 290350 20724297 | ÷ | 164925 11183551 |
| = | 290350 20724297 | × | 11183551 164925 |
| = | 11614 20724297 | × | 11183551 6597 |
We obtained :
| x | = | 129885761314 136718187309 |