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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 1400*X-(400+500X)-(1400*X*0.17/1.17-50*X)*1.1 = 0 .
Question type: Equation
Solution:Original question:
| 1400 | X | − | ( | 400 | + | 500 | X | ) | − | ( | 1400 | X | × | 17 100 | ÷ | 117 100 | − | 50 | X | ) | × | 11 10 | = | 0 |
| Left side of the equation = | 1400 | X | − | 400 | − | 500 | X | − | ( | 1400 | X | × | 17 100 | ÷ | 117 100 | − | 50 | X | ) | × | 11 10 |
| = | 900 | X | − | 400 | − | ( | 1400 | X | × | 17 100 | ÷ | 117 100 | − | 50 | X | ) | × | 11 10 |
| = | 900 | X | − | 400 | − | 1400 | X | × | 17 100 | ÷ | 117 100 | × | 11 10 | + | 50 | X | × | 11 10 |
| = | 900 | X | − | 400 | − | 26180 117 | X | + | 55 | X |
| = | 85555 117 | X | − | 400 |
85555 117 | X | − | 400 | = | 0 |
Transposition :
85555 117 | X | = | 0 | + | 400 |
Combine the items on the right of the equation:
85555 117 | X | = | 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 400 | ÷ | 85555 117 |
| = | 400 | × | 117 85555 |
| = | 80 | × | 117 17111 |
We obtained :
| X | = | 9360 17111 |
Convert the result to decimal form :
| X | = | 0.547017 |