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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 0.137Z-3+0.119Z-2+0.269Z-1-0.019 = 0.167 .
Question type: Equation
Solution:Original question:
137 1000 | Z | − | 3 | + | 119 1000 | Z | − | 2 | + | 269 1000 | Z | − | 1 | − | 19 1000 | = | 167 1000 |
| Left side of the equation = | 21 40 | Z | − | 6019 1000 |
21 40 | Z | − | 6019 1000 | = | 167 1000 |
Transposition :
21 40 | Z | = | 167 1000 | + | 6019 1000 |
Combine the items on the right of the equation:
21 40 | Z | = | 3093 500 |
The coefficient of the unknown number is reduced to 1 :
| Z | = | 3093 500 | ÷ | 21 40 |
| = | 3093 500 | × | 40 21 |
| = | 1031 25 | × | 2 7 |
We obtained :
| Z | = | 2062 175 |
Convert the result to decimal form :
| Z | = | 11.782857 |