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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+86+30+20+(1.03x+86+30+20)*0.15 = 693.75 .
Question type: Equation
Solution:Original question:
103 100 | x | + | 86 | + | 30 | + | 20 | + | ( | 103 100 | x | + | 86 | + | 30 | + | 20 | ) | × | 3 20 | = | 2775 4 |
| Left side of the equation = | 103 100 | x | + | 136 | + | ( | 103 100 | x | + | 86 | + | 30 | + | 20 | ) | × | 3 20 |
103 100 | x | + | 136 | + | ( | 103 100 | x | + | 86 | + | 30 | + | 20 | ) | × | 3 20 | = | 2775 4 |
| Left side of the equation = | 103 100 | x | + | 136 | + | 103 100 | x | × | 3 20 | + | 86 | × | 3 20 | + | 30 | × | 3 20 | + | 20 | × | 3 20 |
| = | 103 100 | x | + | 136 | + | 309 2000 | x | + | 129 10 | + | 9 2 | + | 3 |
| = | 2369 2000 | x | + | 782 5 |
2369 2000 | x | + | 782 5 | = | 2775 4 |
Transposition :
2369 2000 | x | = | 2775 4 | − | 782 5 |
Combine the items on the right of the equation:
2369 2000 | x | = | 10747 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10747 20 | ÷ | 2369 2000 |
| = | 10747 20 | × | 2000 2369 |
| = | 10747 | × | 100 2369 |
We obtained :
| x | = | 1074700 2369 |
Convert the result to decimal form :
| x | = | 453.65133 |