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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 0.507*（（90/x）+15）/（40/x）+8.5 = 0.493*（（90/x）+15）/（50/x）+6.5 .
Question type: Equation
Solution:Original question:
507 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ÷ | ( | 40 | ÷ | x | ) | + | 17 2 | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ÷ | ( | 50 | ÷ | x | ) | + | 13 2 |
| Multiply both sides of the equation by: | ( | 40 | ÷ | x | ) | , | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 507 1000 | × | 15 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 507 1000 | × | 15 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 493 1000 | × | 15 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | × | 90 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | × | 90 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | × | 90 | ÷ | x | × | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
4563 100 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 4437 100 | ÷ | x | × | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
| Multiply both sides of the equation by: | x |
4563 100 | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | ( | 40 | ÷ | 1 | ) | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 100 | × | 50 | ÷ | 1 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | ( | 40 | ÷ | 1 | ) | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 100 | × | 50 | ÷ | 1 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | 40 | ÷ | 1 | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 2 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 200 | × | 50 | ÷ | 1 | × | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 200 | × | 50 | ÷ | 1 | × | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | × | 40 | ÷ | 1 | × | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 260 | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | × | 50 | ÷ | 1 | = | 8874 5 | + | 1479 5 | x | + | 260 | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | × | 50 | ÷ | 1 | = | 8874 5 | + | 1479 5 | x | + | 260 | × | 50 | ÷ | 1 |
4563 2 | + | 1521 4 | x | + | 17000 | = | 8874 5 | + | 1479 5 | x | + | 13000 |
38563 2 | + | 1521 4 | x | = | 73874 5 | + | 1479 5 | x |
Transposition :
1521 4 | x | − | 1479 5 | x | = | 73874 5 | − | 38563 2 |
Combine the items on the left of the equation:
1689 20 | x | = | 73874 5 | − | 38563 2 |
Combine the items on the right of the equation:
1689 20 | x | = | - | 45067 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 45067 10 | ÷ | 1689 20 |
| = | - | 45067 10 | × | 20 1689 |
| = | - | 45067 | × | 2 1689 |
We obtained :
| x | = | - | 90134 1689 |
Convert the result to decimal form :
| x | = | - 53.365305 |