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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 (X-700)-(X+700)*3/10000-(X-700)*0.13*0.12 = 0 .
Question type: Equation
Solution:Original question:
| ( | X | − | 700 | ) | − | ( | X | + | 700 | ) | × | 3 | ÷ | 10000 | − | ( | X | − | 700 | ) | × | 13 100 | × | 3 25 | = | 0 |
| Left side of the equation = | ( | X | − | 700 | ) | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| ( | X | − | 700 | ) | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 | = | 0 |
| Left side of the equation = | X | − | 700 | − | ( | X | + | 700 | ) | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 700 | − | X | × | 3 10000 | − | 700 | × | 3 10000 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | X | − | 700 | − | X | × | 3 10000 | − | 21 100 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 70021 100 | − | ( | X | − | 700 | ) | × | 39 2500 |
| = | 9997 10000 | X | − | 70021 100 | − | X | × | 39 2500 | + | 700 | × | 39 2500 |
| = | 9997 10000 | X | − | 70021 100 | − | X | × | 39 2500 | + | 273 25 |
| = | 9841 10000 | X | − | 68929 100 |
9841 10000 | X | − | 68929 100 | = | 0 |
Transposition :
9841 10000 | X | = | 0 | + | 68929 100 |
Combine the items on the right of the equation:
9841 10000 | X | = | 68929 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 68929 100 | ÷ | 9841 10000 |
| = | 68929 100 | × | 10000 9841 |
| = | 68929 | × | 100 9841 |
We obtained :
| X | = | 6892900 9841 |
Convert the result to decimal form :
| X | = | 700.426786 |