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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 1400Q-(400+500Q)-(1400Q×13%-50Q)×12% = 0 .
Question type: Equation
Solution:Original question:
| 1400 | Q | − | ( | 400 | + | 500 | Q | ) | − | ( | 1400 | Q | × | 13 100 | − | 50 | Q | ) | × | 12 100 | = | 0 |
| Left side of the equation = | 1400 | Q | − | 400 | − | 500 | Q | − | ( | 1400 | Q | × | 13 100 | − | 50 | Q | ) | × | 12 100 |
| = | 900 | Q | − | 400 | − | ( | 1400 | Q | × | 13 100 | − | 50 | Q | ) | × | 12 100 |
| = | 900 | Q | − | 400 | − | 1400 | Q | × | 13 100 | × | 12 100 | + | 50 | Q | × | 12 100 |
| = | 900 | Q | − | 400 | − | 546 25 | Q | + | 6 | Q |
| = | 22104 25 | Q | − | 400 |
22104 25 | Q | − | 400 | = | 0 |
Transposition :
22104 25 | Q | = | 0 | + | 400 |
Combine the items on the right of the equation:
22104 25 | Q | = | 400 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 400 | ÷ | 22104 25 |
| = | 400 | × | 25 22104 |
| = | 50 | × | 25 2763 |
We obtained :
| Q | = | 1250 2763 |
Convert the result to decimal form :
| Q | = | 0.452407 |