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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 (1-0.19)*(9-x)/9.14+0.19*(0.026-x)/0.166 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 19 100 | ) | ( | 9 | − | x | ) | ÷ | 457 50 | + | 19 100 | ( | 13 500 | − | x | ) | ÷ | 83 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 19 100 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 95 83 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 19 100 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 95 83 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 9 | − | x | ) | × | 50 457 | − | 19 100 | ( | 9 | − | x | ) | × | 50 457 | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | ( | 9 | − | x | ) | − | 19 914 | ( | 9 | − | x | ) | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | × | 9 | − | 50 457 | x | − | 19 914 | ( | 9 | − | x | ) | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 19 914 | ( | 9 | − | x | ) | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 19 914 | × | 9 | + | 19 914 | x | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 171 914 | + | 19 914 | x | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 729 914 | − | 37017 417698 | x | + | 95 83 | ( | 13 500 | − | x | ) |
| = | 729 914 | − | 37017 417698 | x | + | 95 83 | × | 13 500 | − | 95 83 | x |
| = | 729 914 | − | 37017 417698 | x | + | 247 8300 | − | 95 83 | x |
| = | 3138229 3793100 | − | 93553 75862 | x |
3138229 3793100 | − | 93553 75862 | x | = | 0 |
Transposition :
| - | 93553 75862 | x | = | 0 | − | 3138229 3793100 |
Combine the items on the right of the equation:
| - | 93553 75862 | x | = | - | 3138229 3793100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3138229 3793100 | = | 93553 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 :
93553 75862 | x | = | 3138229 3793100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3138229 3793100 | ÷ | 93553 75862 |
| = | 3138229 3793100 | × | 75862 93553 |
| = | 3138229 22850 | × | 457 93553 |
We obtained :
| x | = | 1434170653 2137686050 |
By reducing fraction, we can get:
| x | = | 3138229 4677650 |
Convert the result to decimal form :
| x | = | 0.670899 |