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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 0.1677 = 0.137Z-3+0.119Z-2+0.269Z-1-0.019 .
Question type: Equation
Solution:Original question:
1677 10000 | = | 137 1000 | Z | − | 3 | + | 119 1000 | Z | − | 2 | + | 269 1000 | Z | − | 1 | − | 19 1000 |
| Right side of the equation = | 21 40 | Z | − | 6019 1000 |
1677 10000 | = | 21 40 | Z | − | 6019 1000 |
Transposition :
| - | 21 40 | Z | = | - | 6019 1000 | − | 1677 10000 |
Combine the items on the right of the equation:
| - | 21 40 | Z | = | - | 61867 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
61867 10000 | = | 21 40 | Z |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
21 40 | Z | = | 61867 10000 |
The coefficient of the unknown number is reduced to 1 :
| Z | = | 61867 10000 | ÷ | 21 40 |
| = | 61867 10000 | × | 40 21 |
| = | 61867 250 | × | 1 21 |
We obtained :
| Z | = | 61867 5250 |
Convert the result to decimal form :
| Z | = | 11.78419 |