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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 = 52500+24004.14+4000+892.5+(x/1.03*0.03+x/1.03*0.03*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 52500 | + | 1200207 50 | + | 4000 | + | 1785 2 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| Right side of the equation = | 2034916 25 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| x | = | 2034916 25 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| Right side of the equation = | 2034916 25 | + | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 |
| = | 2034916 25 | + | x | × | 3 103 | + | x | × | 3 1030 |
| = | 2034916 25 | + | 3399 106090 | x |
| x | = | 2034916 25 | + | 3399 106090 | x |
Transposition :
| x | − | 3399 106090 | x | = | 2034916 25 |
Combine the items on the left of the equation:
997 1030 | x | = | 2034916 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2034916 25 | ÷ | 997 1030 |
| = | 2034916 25 | × | 1030 997 |
| = | 2034916 5 | × | 206 997 |
We obtained :
| x | = | 419192696 4985 |
Convert the result to decimal form :
| x | = | 84090.811635 |