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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 （50/x+6.8）*0.493 = (40/x+8.5)*0.507 .
Question type: Equation
Solution:Original question:
| ( | 50 | ÷ | x | + | 34 5 | ) | × | 493 1000 | = | ( | 40 | ÷ | x | + | 17 2 | ) | × | 507 1000 |
| 50 | ÷ | x | × | 493 1000 | + | 34 5 | × | 493 1000 | = | ( | 40 | ÷ | x | + | 17 2 | ) | × | 507 1000 |
| 50 | ÷ | x | × | 493 1000 | + | 34 5 | × | 493 1000 | = | 40 | ÷ | x | × | 507 1000 | + | 17 2 | × | 507 1000 |
493 20 | ÷ | x | + | 8381 2500 | = | 507 25 | ÷ | x | + | 8619 2000 |
| Multiply both sides of the equation by: | x |
493 20 | + | 8381 2500 | x | = | 507 25 | ÷ | 1 | × | 1 | + | 8619 2000 | x |
Transposition :
8381 2500 | x | − | 8619 2000 | x | = | 507 25 | ÷ | 1 | × | 1 | − | 493 20 |
Calculate the items on the right of the equation:
8381 2500 | x | − | 8619 2000 | x | = | 507 25 | − | 493 20 |
Combine the items on the left of the equation:
| - | 9571 10000 | x | = | 507 25 | − | 493 20 |
Combine the items on the right of the equation:
| - | 9571 10000 | x | = | - | 437 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
437 100 | = | 9571 10000 | 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 :
9571 10000 | x | = | 437 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 437 100 | ÷ | 9571 10000 |
| = | 437 100 | × | 10000 9571 |
| = | 437 | × | 100 9571 |
We obtained :
| x | = | 43700 9571 |
Convert the result to decimal form :
| x | = | 4.565876 |