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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 (1-0.85)*(2.11-x)/3.71+0.85*(0.026-x)/1.626 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 17 20 | ) | ( | 211 100 | − | x | ) | ÷ | 371 100 | + | 17 20 | ( | 13 500 | − | x | ) | ÷ | 813 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 17 20 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 425 813 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 17 20 | ) | ( | 211 100 | − | x | ) | × | 100 371 | + | 425 813 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 211 100 | − | x | ) | × | 100 371 | − | 17 20 | ( | 211 100 | − | x | ) | × | 100 371 | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 100 371 | ( | 211 100 | − | x | ) | − | 85 371 | ( | 211 100 | − | x | ) | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 100 371 | × | 211 100 | − | 100 371 | x | − | 85 371 | ( | 211 100 | − | x | ) | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 85 371 | ( | 211 100 | − | x | ) | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 85 371 | × | 211 100 | + | 85 371 | x | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 211 371 | − | 100 371 | x | − | 3587 7420 | + | 85 371 | x | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 633 7420 | − | 15 371 | x | + | 425 813 | ( | 13 500 | − | x | ) |
| = | 633 7420 | − | 15 371 | x | + | 425 813 | × | 13 500 | − | 425 813 | x |
| = | 633 7420 | − | 15 371 | x | + | 221 16260 | − | 425 813 | x |
| = | 29831 301623 | − | 169870 301623 | x |
29831 301623 | − | 169870 301623 | x | = | 0 |
Transposition :
| - | 169870 301623 | x | = | 0 | − | 29831 301623 |
Combine the items on the right of the equation:
| - | 169870 301623 | x | = | - | 29831 301623 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
29831 301623 | = | 169870 301623 | 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 :
169870 301623 | x | = | 29831 301623 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 29831 301623 | ÷ | 169870 301623 |
| = | 29831 301623 | × | 301623 169870 |
| = | 29831 271 | × | 271 169870 |
We obtained :
| x | = | 8084201 46034770 |
By reducing fraction, we can get:
| x | = | 29831 169870 |
Convert the result to decimal form :
| x | = | 0.175611 |