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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 1.03x+107+82.12+65.32+(1.03x+107+82.12+65.32)*0.15 = 580 .
Question type: Equation
Solution:Original question:
103 100 | x | + | 107 | + | 2053 25 | + | 1633 25 | + | ( | 103 100 | x | + | 107 | + | 2053 25 | + | 1633 25 | ) | × | 3 20 | = | 580 |
| Left side of the equation = | 103 100 | x | + | 6361 25 | + | ( | 103 100 | x | + | 107 | + | 2053 25 | + | 1633 25 | ) | × | 3 20 |
103 100 | x | + | 6361 25 | + | ( | 103 100 | x | + | 107 | + | 2053 25 | + | 1633 25 | ) | × | 3 20 | = | 580 |
| Left side of the equation = | 103 100 | x | + | 6361 25 | + | 103 100 | x | × | 3 20 | + | 107 | × | 3 20 | + | 2053 25 | × | 3 20 | + | 1633 25 | × | 3 20 |
| = | 103 100 | x | + | 6361 25 | + | 309 2000 | x | + | 321 20 | + | 6159 500 | + | 4899 500 |
| = | 2369 2000 | x | + | 146303 500 |
2369 2000 | x | + | 146303 500 | = | 580 |
Transposition :
2369 2000 | x | = | 580 | − | 146303 500 |
Combine the items on the right of the equation:
2369 2000 | x | = | 143697 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 143697 500 | ÷ | 2369 2000 |
| = | 143697 500 | × | 2000 2369 |
| = | 143697 | × | 4 2369 |
We obtained :
| x | = | 574788 2369 |
Convert the result to decimal form :
| x | = | 242.628957 |