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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 0.508/(40/x+8.50) = 0.492/(50/x+6.8) .
Question type: Equation
Solution:Original question:
127 250 | ÷ | ( | 40 | ÷ | x | + | 17 2 | ) | = | 123 250 | ÷ | ( | 50 | ÷ | x | + | 34 5 | ) |
| Multiply both sides of the equation by: | ( | 40 | ÷ | x | + | 17 2 | ) | , | ( | 50 | ÷ | x | + | 34 5 | ) |
127 250 | ( | 50 | ÷ | x | + | 34 5 | ) | = | 123 250 | ( | 40 | ÷ | x | + | 17 2 | ) |
127 250 | × | 50 | ÷ | x | + | 127 250 | × | 34 5 | = | 123 250 | ( | 40 | ÷ | x | + | 17 2 | ) |
127 250 | × | 50 | ÷ | x | + | 127 250 | × | 34 5 | = | 123 250 | × | 40 | ÷ | x | + | 123 250 | × | 17 2 |
127 5 | ÷ | x | + | 2159 625 | = | 492 25 | ÷ | x | + | 2091 500 |
| Multiply both sides of the equation by: | x |
127 5 | + | 2159 625 | x | = | 492 25 | ÷ | 1 | × | 1 | + | 2091 500 | x |
Transposition :
2159 625 | x | − | 2091 500 | x | = | 492 25 | ÷ | 1 | × | 1 | − | 127 5 |
Calculate the items on the right of the equation:
2159 625 | x | − | 2091 500 | x | = | 492 25 | − | 127 5 |
Combine the items on the left of the equation:
| - | 1819 2500 | x | = | 492 25 | − | 127 5 |
Combine the items on the right of the equation:
| - | 1819 2500 | x | = | - | 143 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
143 25 | = | 1819 2500 | 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 :
1819 2500 | x | = | 143 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 143 25 | ÷ | 1819 2500 |
| = | 143 25 | × | 2500 1819 |
| = | 143 | × | 100 1819 |
We obtained :
| x | = | 14300 1819 |
Convert the result to decimal form :
| x | = | 7.861462 |