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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 0.4342 = 0.137Z3-3+0.119Z3-2+0.269Z3-1-0.019 .
Question type: Equation
Solution:Original question:
2171 5000 | = | 137 1000 | Z | × | 3 | − | 3 | + | 119 1000 | Z | × | 3 | − | 2 | + | 269 1000 | Z | × | 3 | − | 1 |
| Right side of the equation = | 411 1000 | Z | − | 3 | + | 357 1000 | Z | − | 2 | + | 807 1000 | Z | − | 1 | − | 19 1000 |
| = | 63 40 | Z | − | 6019 1000 |
2171 5000 | = | 63 40 | Z | − | 6019 1000 |
Transposition :
| - | 63 40 | Z | = | - | 6019 1000 | − | 2171 5000 |
Combine the items on the right of the equation:
| - | 63 40 | Z | = | - | 16133 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
16133 2500 | = | 63 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 :
63 40 | Z | = | 16133 2500 |
The coefficient of the unknown number is reduced to 1 :
| Z | = | 16133 2500 | ÷ | 63 40 |
| = | 16133 2500 | × | 40 63 |
| = | 16133 125 | × | 2 63 |
We obtained :
| Z | = | 32266 7875 |
Convert the result to decimal form :
| Z | = | 4.09727 |