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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 (7211+x)/174*36+(7461+x) = 10000 .
Question type: Equation
Solution:Original question:
| ( | 7211 | + | x | ) | ÷ | 174 | × | 36 | + | ( | 7461 | + | x | ) | = | 10000 |
| Left side of the equation = | ( | 7211 | + | x | ) | × | 6 29 | + | ( | 7461 | + | x | ) |
| ( | 7211 | + | x | ) | × | 6 29 | + | ( | 7461 | + | x | ) | = | 10000 |
| Left side of the equation = | 7211 | × | 6 29 | + | x | × | 6 29 | + | ( | 7461 | + | x | ) |
| = | 43266 29 | + | x | × | 6 29 | + | ( | 7461 | + | x | ) |
| = | 43266 29 | + | 6 29 | x | + | 7461 | + | x |
| = | 259635 29 | + | 35 29 | x |
259635 29 | + | 35 29 | x | = | 10000 |
Transposition :
35 29 | x | = | 10000 | − | 259635 29 |
Combine the items on the right of the equation:
35 29 | x | = | 30365 29 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30365 29 | ÷ | 35 29 |
| = | 30365 29 | × | 29 35 |
| = | 6073 | × | 1 7 |
We obtained :
| x | = | 6073 7 |
Convert the result to decimal form :
| x | = | 867.571429 |