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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 （604.8-237.05）*（1-x）*（1%+6%-6%） = 0 .
Question type: Equation
Solution:Original question:
| ( | 3024 5 | − | 4741 20 | ) | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) | = | 0 |
| Left side of the equation = | 3024 5 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 3024 5 | × | 1 | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 3024 5 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 3024 5 | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 3024 5 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 3024 5 | × | 1 100 | + | 3024 5 | × | 6 100 | − | 3024 5 | × | 6 100 | − | 3024 5 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | + | 4536 125 | − | 4536 125 | − | 3024 5 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 3024 5 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 3024 5 | x | × | 1 100 | − | 3024 5 | x | × | 6 100 | + | 3024 5 | x | × | 6 100 | − | 4741 20 | ( | 1 | − | x | ) |
| = | 756 125 | − | 756 125 | x | − | 4536 125 | x | + | 4536 125 | x | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 756 125 | x | − | 4741 20 | ( | 1 | − | x | ) | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 756 125 | x | − | 4741 20 | × | 1 | ( | 1 100 | + | 6 100 | − | 6 100 | ) | + | 4741 20 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 756 125 | x | − | 4741 20 | ( | 1 100 | + | 6 100 | − | 6 100 | ) | + | 4741 20 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 756 125 | x | − | 4741 20 | × | 1 100 | − | 4741 20 | × | 6 100 | + | 4741 20 | × | 6 100 | + | 4741 20 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 756 125 | − | 756 125 | x | − | 4741 2000 | − | 14223 1000 | + | 14223 1000 | + | 4741 20 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 1471 400 | − | 756 125 | x | + | 4741 20 | x | ( | 1 100 | + | 6 100 | − | 6 100 | ) |
| = | 1471 400 | − | 756 125 | x | + | 4741 20 | x | × | 1 100 | + | 4741 20 | x | × | 6 100 | − | 4741 20 | x | × | 6 100 |
| = | 1471 400 | − | 756 125 | x | + | 4741 2000 | x | + | 14223 1000 | x | − | 14223 1000 | x |
| = | 1471 400 | − | 1471 400 | x |
1471 400 | − | 1471 400 | x | = | 0 |
Transposition :
| - | 1471 400 | x | = | 0 | − | 1471 400 |
Combine the items on the right of the equation:
| - | 1471 400 | x | = | - | 1471 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1471 400 | = | 1471 400 | 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 :
1471 400 | x | = | 1471 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1471 400 | ÷ | 1471 400 |
| = | 1471 400 | × | 400 1471 |
| = | 1471 | × | 1 1471 |
We obtained :
| x | = | 1471 1471 |
Convert the result to decimal form :
| x | = | 1 |