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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 = 37500+12026.40+637.5+4000+(x/1.03*0.03+x/1.03*0.03*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 37500 | + | 60132 5 | + | 1275 2 | + | 4000 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| Right side of the equation = | 541639 10 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| x | = | 541639 10 | + | ( | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 | ) |
| Right side of the equation = | 541639 10 | + | x | ÷ | 103 100 | × | 3 100 | + | x | ÷ | 103 100 | × | 3 100 | × | 1 10 |
| = | 541639 10 | + | x | × | 3 103 | + | x | × | 3 1030 |
| = | 541639 10 | + | 3399 106090 | x |
| x | = | 541639 10 | + | 3399 106090 | x |
Transposition :
| x | − | 3399 106090 | x | = | 541639 10 |
Combine the items on the left of the equation:
997 1030 | x | = | 541639 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 541639 10 | ÷ | 997 1030 |
| = | 541639 10 | × | 1030 997 |
| = | 541639 | × | 103 997 |
We obtained :
| x | = | 55788817 997 |
Convert the result to decimal form :
| x | = | 55956.687061 |