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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 （x-6）*（4.8-4.6229） = （7-6）*（5.2064-4.6229） .
Question type: Equation
Solution:Original question:
| ( | x | − | 6 | ) | ( | 24 5 | − | 46229 10000 | ) | = | ( | 7 | − | 6 | ) | ( | 3254 625 | − | 46229 10000 | ) |
| Left side of the equation = | x | ( | 24 5 | − | 46229 10000 | ) | − | 6 | ( | 24 5 | − | 46229 10000 | ) |
| = | x | × | 24 5 | − | x | × | 46229 10000 | − | 6 | ( | 24 5 | − | 46229 10000 | ) |
| = | 1771 10000 | x | − | 6 | ( | 24 5 | − | 46229 10000 | ) |
| = | 1771 10000 | x | − | 6 | × | 24 5 | + | 6 | × | 46229 10000 |
| = | 1771 10000 | x | − | 144 5 | + | 138687 5000 |
| = | 1771 10000 | x | − | 5313 5000 |
1771 10000 | x | − | 5313 5000 | = | ( | 7 | − | 6 | ) | ( | 3254 625 | − | 46229 10000 | ) |
| Right side of the equation = | 7 | ( | 3254 625 | − | 46229 10000 | ) | − | 6 | ( | 3254 625 | − | 46229 10000 | ) |
| = | 7 | × | 3254 625 | − | 7 | × | 46229 10000 | − | 6 | ( | 3254 625 | − | 46229 10000 | ) |
| = | 22778 625 | − | 323603 10000 | − | 6 | ( | 3254 625 | − | 46229 10000 | ) |
| = | 8169 2000 | − | 6 | ( | 3254 625 | − | 46229 10000 | ) |
| = | 8169 2000 | − | 6 | × | 3254 625 | + | 6 | × | 46229 10000 |
| = | 8169 2000 | − | 19524 625 | + | 138687 5000 |
| = | 1167 2000 |
1771 10000 | x | − | 5313 5000 | = | 1167 2000 |
Transposition :
1771 10000 | x | = | 1167 2000 | + | 5313 5000 |
Combine the items on the right of the equation:
1771 10000 | x | = | 16461 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16461 10000 | ÷ | 1771 10000 |
| = | 16461 10000 | × | 10000 1771 |
| = | 16461 | × | 1 1771 |
We obtained :
| x | = | 16461 1771 |
Convert the result to decimal form :
| x | = | 9.294749 |