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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 10000/155.3+10000/(x) = 150 .
Question type: Equation
Solution:Original question:
| 10000 | ÷ | 1553 10 | + | 10000 | ÷ | ( | x | ) | = | 150 |
| Multiply both sides of the equation by: | ( | x | ) |
| 10000 | ÷ | 1553 10 | × | ( | x | ) | + | 10000 | = | 150 | ( | x | ) |
| 10000 | ÷ | 1553 10 | × | x | + | 10000 | = | 150 | ( | x | ) |
| 10000 | ÷ | 1553 10 | × | x | + | 10000 | = | 150 | x |
100000 1553 | x | + | 10000 | = | 150 | x |
Transposition :
100000 1553 | x | − | 150 | x | = | - | 10000 |
Combine the items on the left of the equation:
| - | 132950 1553 | x | = | - | 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 10000 | = | 132950 1553 | 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 :
132950 1553 | x | = | 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10000 | ÷ | 132950 1553 |
| = | 10000 | × | 1553 132950 |
| = | 200 | × | 1553 2659 |
We obtained :
| x | = | 310600 2659 |
Convert the result to decimal form :
| x | = | 116.810831 |