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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 (40/X+8.5)/(50/X+6.8) = 1.063/0.943 .
Question type: Equation
Solution:Original question:
| ( | 40 | ÷ | X | + | 17 2 | ) | ÷ | ( | 50 | ÷ | X | + | 34 5 | ) | = | 1063 1000 | ÷ | 943 1000 |
| Multiply both sides of the equation by: | ( | 50 | ÷ | X | + | 34 5 | ) |
| ( | 40 | ÷ | X | + | 17 2 | ) | = | 1063 1000 | ÷ | 943 1000 | × | ( | 50 | ÷ | X | + | 34 5 | ) |
| 40 | ÷ | X | + | 17 2 | = | 1063 1000 | ÷ | 943 1000 | × | ( | 50 | ÷ | X | + | 34 5 | ) |
| 40 | ÷ | X | + | 17 2 | = | 1063 1000 | ÷ | 943 1000 | × | 50 | ÷ | X | + | 1063 1000 | ÷ | 943 1000 | × | 34 5 |
| 40 | ÷ | X | + | 17 2 | = | 53150 943 | ÷ | X | + | 36142 4715 |
| Multiply both sides of the equation by: | X |
| 40 | + | 17 2 | X | = | 53150 943 | ÷ | 1 | × | 1 | + | 36142 4715 | X |
Transposition :
17 2 | X | − | 36142 4715 | X | = | 53150 943 | ÷ | 1 | × | 1 | − | 40 |
Calculate the items on the right of the equation:
17 2 | X | − | 36142 4715 | X | = | 53150 943 | − | 40 |
Combine the items on the left of the equation:
7871 9430 | X | = | 53150 943 | − | 40 |
Combine the items on the right of the equation:
7871 9430 | X | = | 15430 943 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 15430 943 | ÷ | 7871 9430 |
| = | 15430 943 | × | 9430 7871 |
| = | 15430 | × | 10 7871 |
We obtained :
| X | = | 154300 7871 |
Convert the result to decimal form :
| X | = | 19.603608 |