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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 1.01x+46.59+1+2.16+(1.01x+46.59+1+2.16)*0.15 = 569 .
Question type: Equation
Solution:Original question:
101 100 | x | + | 4659 100 | + | 1 | + | 54 25 | + | ( | 101 100 | x | + | 4659 100 | + | 1 | + | 54 25 | ) | × | 3 20 | = | 569 |
| Left side of the equation = | 101 100 | x | + | 199 4 | + | ( | 101 100 | x | + | 4659 100 | + | 1 | + | 54 25 | ) | × | 3 20 |
101 100 | x | + | 199 4 | + | ( | 101 100 | x | + | 4659 100 | + | 1 | + | 54 25 | ) | × | 3 20 | = | 569 |
| Left side of the equation = | 101 100 | x | + | 199 4 | + | 101 100 | x | × | 3 20 | + | 4659 100 | × | 3 20 | + | 1 | × | 3 20 | + | 54 25 | × | 3 20 |
| = | 101 100 | x | + | 199 4 | + | 303 2000 | x | + | 13977 2000 | + | 3 20 | + | 81 250 |
| = | 2323 2000 | x | + | 4577 80 |
2323 2000 | x | + | 4577 80 | = | 569 |
Transposition :
2323 2000 | x | = | 569 | − | 4577 80 |
Combine the items on the right of the equation:
2323 2000 | x | = | 40943 80 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 40943 80 | ÷ | 2323 2000 |
| = | 40943 80 | × | 2000 2323 |
| = | 40943 | × | 25 2323 |
We obtained :
| x | = | 1023575 2323 |
Convert the result to decimal form :
| x | = | 440.626345 |