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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 0.35 = 1/2(328.21÷480.23＋x÷480.23)－1 .
Question type: Equation
Solution:Original question:
7 20 | = | 1 | ÷ | 2 | × | ( | 32821 100 | ÷ | 48023 100 | + | x | ÷ | 48023 100 | ) | − | 1 |
| Right side of the equation = | 1 2 | ( | 32821 100 | ÷ | 48023 100 | + | x | ÷ | 48023 100 | ) | − | 1 |
7 20 | = | 1 2 | ( | 32821 100 | ÷ | 48023 100 | + | x | ÷ | 48023 100 | ) | − | 1 |
| Right side of the equation = | 1 2 | × | 32821 100 | ÷ | 48023 100 | + | 1 2 | x | ÷ | 48023 100 | − | 1 |
| = | 32821 96046 | + | 50 48023 | x | − | 1 |
| = | - | 63225 96046 | + | 50 48023 | x |
7 20 | = | - | 63225 96046 | + | 50 48023 | x |
Transposition :
| - | 50 48023 | x | = | - | 63225 96046 | − | 7 20 |
Combine the items on the right of the equation:
| - | 50 48023 | x | = | - | 968411 960460 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
968411 960460 | = | 50 48023 | x |
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 :
50 48023 | x | = | 968411 960460 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 968411 960460 | ÷ | 50 48023 |
| = | 968411 960460 | × | 48023 50 |
We obtained :
| x | = | 46506001453 48023000 |