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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 1.05x+58+15+5+(1.05x+58+15+5)*0.15 = 366.022 .
Question type: Equation
Solution:Original question:
21 20 | x | + | 58 | + | 15 | + | 5 | + | ( | 21 20 | x | + | 58 | + | 15 | + | 5 | ) | × | 3 20 | = | 183011 500 |
| Left side of the equation = | 21 20 | x | + | 78 | + | ( | 21 20 | x | + | 58 | + | 15 | + | 5 | ) | × | 3 20 |
21 20 | x | + | 78 | + | ( | 21 20 | x | + | 58 | + | 15 | + | 5 | ) | × | 3 20 | = | 183011 500 |
| Left side of the equation = | 21 20 | x | + | 78 | + | 21 20 | x | × | 3 20 | + | 58 | × | 3 20 | + | 15 | × | 3 20 | + | 5 | × | 3 20 |
| = | 21 20 | x | + | 78 | + | 63 400 | x | + | 87 10 | + | 9 4 | + | 3 4 |
| = | 483 400 | x | + | 897 10 |
483 400 | x | + | 897 10 | = | 183011 500 |
Transposition :
483 400 | x | = | 183011 500 | − | 897 10 |
Combine the items on the right of the equation:
483 400 | x | = | 138161 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 138161 500 | ÷ | 483 400 |
| = | 138161 500 | × | 400 483 |
| = | 138161 5 | × | 4 483 |
We obtained :
| x | = | 552644 2415 |
By reducing fraction, we can get:
| x | = | 24028 105 |
Convert the result to decimal form :
| x | = | 228.838095 |