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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 （114*4.2+4.5x）/（114+x） = 4.241 .
Question type: Equation
Solution:Original question:
| ( | 114 | × | 21 5 | + | 9 2 | x | ) | ÷ | ( | 114 | + | x | ) | = | 4241 1000 |
| Multiply both sides of the equation by: | ( | 114 | + | x | ) |
| ( | 114 | × | 21 5 | + | 9 2 | x | ) | = | 4241 1000 | ( | 114 | + | x | ) |
| 114 | × | 21 5 | + | 9 2 | x | = | 4241 1000 | ( | 114 | + | x | ) |
| 114 | × | 21 5 | + | 9 2 | x | = | 4241 1000 | × | 114 | + | 4241 1000 | x |
2394 5 | + | 9 2 | x | = | 241737 500 | + | 4241 1000 | x |
Transposition :
9 2 | x | − | 4241 1000 | x | = | 241737 500 | − | 2394 5 |
Combine the items on the left of the equation:
259 1000 | x | = | 241737 500 | − | 2394 5 |
Combine the items on the right of the equation:
259 1000 | x | = | 2337 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2337 500 | ÷ | 259 1000 |
| = | 2337 500 | × | 1000 259 |
| = | 2337 | × | 2 259 |
We obtained :
| x | = | 4674 259 |
Convert the result to decimal form :
| x | = | 18.046332 |