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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）/（40/x+8.5） = 0.493/0.507 .
Question type: Equation
Solution:Original question:
| ( | 50 | ÷ | x | + | 34 5 | ) | ÷ | ( | 40 | ÷ | x | + | 17 2 | ) | = | 493 1000 | ÷ | 507 1000 |
| Multiply both sides of the equation by: | ( | 40 | ÷ | x | + | 17 2 | ) |
| ( | 50 | ÷ | x | + | 34 5 | ) | = | 493 1000 | ÷ | 507 1000 | × | ( | 40 | ÷ | x | + | 17 2 | ) |
| 50 | ÷ | x | + | 34 5 | = | 493 1000 | ÷ | 507 1000 | × | ( | 40 | ÷ | x | + | 17 2 | ) |
| 50 | ÷ | x | + | 34 5 | = | 493 1000 | ÷ | 507 1000 | × | 40 | ÷ | x | + | 493 1000 | ÷ | 507 1000 | × | 17 2 |
| 50 | ÷ | x | + | 34 5 | = | 19720 507 | ÷ | x | + | 8381 1014 |
| Multiply both sides of the equation by: | x |
| 50 | + | 34 5 | x | = | 19720 507 | ÷ | 1 | × | 1 | + | 8381 1014 | x |
Transposition :
34 5 | x | − | 8381 1014 | x | = | 19720 507 | ÷ | 1 | × | 1 | − | 50 |
Calculate the items on the right of the equation:
34 5 | x | − | 8381 1014 | x | = | 19720 507 | − | 50 |
Combine the items on the left of the equation:
| - | 7429 5070 | x | = | 19720 507 | − | 50 |
Combine the items on the right of the equation:
| - | 7429 5070 | x | = | - | 5630 507 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5630 507 | = | 7429 5070 | 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 :
7429 5070 | x | = | 5630 507 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5630 507 | ÷ | 7429 5070 |
| = | 5630 507 | × | 5070 7429 |
| = | 5630 | × | 10 7429 |
We obtained :
| x | = | 56300 7429 |
Convert the result to decimal form :
| x | = | 7.578409 |