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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 (1-0.59)*(9-x)/9.14+0.59*(0.026-x)/0.166 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 59 100 | ) | ( | 9 | − | x | ) | ÷ | 457 50 | + | 59 100 | ( | 13 500 | − | x | ) | ÷ | 83 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 59 100 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 295 83 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 59 100 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 295 83 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 9 | − | x | ) | × | 50 457 | − | 59 100 | ( | 9 | − | x | ) | × | 50 457 | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | ( | 9 | − | x | ) | − | 59 914 | ( | 9 | − | x | ) | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | × | 9 | − | 50 457 | x | − | 59 914 | ( | 9 | − | x | ) | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 59 914 | ( | 9 | − | x | ) | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 59 914 | × | 9 | + | 59 914 | x | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 531 914 | + | 59 914 | x | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 168633 417698 | − | 18737 417698 | x | + | 295 83 | ( | 13 500 | − | x | ) |
| = | 168633 417698 | − | 18737 417698 | x | + | 295 83 | × | 13 500 | − | 295 83 | x |
| = | 168633 417698 | − | 18737 417698 | x | + | 767 8300 | − | 295 83 | x |
| = | 1881869 3793100 | − | 273033 75862 | x |
1881869 3793100 | − | 273033 75862 | x | = | 0 |
Transposition :
| - | 273033 75862 | x | = | 0 | − | 1881869 3793100 |
Combine the items on the right of the equation:
| - | 273033 75862 | x | = | - | 1881869 3793100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1881869 3793100 | = | 273033 75862 | 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 :
273033 75862 | x | = | 1881869 3793100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1881869 3793100 | ÷ | 273033 75862 |
| = | 1881869 3793100 | × | 75862 273033 |
| = | 1881869 22850 | × | 457 273033 |
We obtained :
| x | = | 860014133 6238804050 |
By reducing fraction, we can get:
| x | = | 1881869 13651650 |
Convert the result to decimal form :
| x | = | 0.137849 |