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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 (1-0.84)*(2.11-x)/3.71+0.84*(0.026-x)/1.626 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 21 25 | ) | ( | 211 100 | − | x | ) | ÷ | 371 100 | + | 21 25 | ( | 13 500 | − | x | ) | ÷ | 813 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 21 25 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 140 271 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 21 25 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 140 271 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 211 100 | − | x | ) | × | 100 371 | − | 21 25 | ( | 211 100 | − | x | ) | × | 100 371 | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 100 371 | ( | 211 100 | − | x | ) | − | 12 53 | ( | 211 100 | − | x | ) | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 100 371 | × | 211 100 | − | 100 371 | x | − | 12 53 | ( | 211 100 | − | x | ) | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 12 53 | ( | 211 100 | − | x | ) | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 12 53 | × | 211 100 | + | 12 53 | x | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 633 1325 | + | 12 53 | x | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 844 9275 | − | 16 371 | x | + | 140 271 | ( | 13 500 | − | x | ) |
| = | 844 9275 | − | 16 371 | x | + | 140 271 | × | 13 500 | − | 140 271 | x |
| = | 844 9275 | − | 16 371 | x | + | 91 6775 | − | 140 271 | x |
| = | 52497 502705 | − | 56276 100541 | x |
52497 502705 | − | 56276 100541 | x | = | 0 |
Transposition :
| - | 56276 100541 | x | = | 0 | − | 52497 502705 |
Combine the items on the right of the equation:
| - | 56276 100541 | x | = | - | 52497 502705 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
52497 502705 | = | 56276 100541 | 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 :
56276 100541 | x | = | 52497 502705 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 52497 502705 | ÷ | 56276 100541 |
| = | 52497 502705 | × | 100541 56276 |
| = | 52497 1355 | × | 271 56276 |
We obtained :
| x | = | 14226687 76253980 |
By reducing fraction, we can get:
| x | = | 52497 281380 |
Convert the result to decimal form :
| x | = | 0.18657 |