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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 31.5×（1＋i）3 = 46.98 .
Question type: Equation
Solution:Original question:
63 2 | ( | 1 | + | i | ) | × | 3 | = | 2349 50 |
| Left side of the equation = | 189 2 | ( | 1 | + | i | ) |
189 2 | ( | 1 | + | i | ) | = | 2349 50 |
| Left side of the equation = | 189 2 | × | 1 | + | 189 2 | i |
| = | 189 2 | + | 189 2 | i |
189 2 | + | 189 2 | i | = | 2349 50 |
Transposition :
189 2 | i | = | 2349 50 | − | 189 2 |
Combine the items on the right of the equation:
189 2 | i | = | - | 1188 25 |
The coefficient of the unknown number is reduced to 1 :
| i | = | - | 1188 25 | ÷ | 189 2 |
| = | - | 1188 25 | × | 2 189 |
| = | - | 44 25 | × | 2 7 |
We obtained :
| i | = | - | 88 175 |
Convert the result to decimal form :
| i | = | - 0.502857 |