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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 （6%-x）*(94.58-96.33) = （7%-6%）*（96.33-96） .
Question type: Equation
Solution:Original question:
| ( | 6 100 | − | x | ) | ( | 4729 50 | − | 9633 100 | ) | = | ( | 7 100 | − | 6 100 | ) | ( | 9633 100 | − | 96 | ) |
| Left side of the equation = | 6 100 | ( | 4729 50 | − | 9633 100 | ) | − | x | ( | 4729 50 | − | 9633 100 | ) |
| = | 6 100 | × | 4729 50 | − | 6 100 | × | 9633 100 | − | x | ( | 4729 50 | − | 9633 100 | ) |
| = | 14187 2500 | − | 28899 5000 | − | x | ( | 4729 50 | − | 9633 100 | ) |
| = | - | 21 200 | − | x | ( | 4729 50 | − | 9633 100 | ) |
| = | - | 21 200 | − | x | × | 4729 50 | + | x | × | 9633 100 |
| = | - | 21 200 | + | 7 4 | x |
| - | 21 200 | + | 7 4 | x | = | ( | 7 100 | − | 6 100 | ) | ( | 9633 100 | − | 96 | ) |
| Right side of the equation = | 7 100 | ( | 9633 100 | − | 96 | ) | − | 6 100 | ( | 9633 100 | − | 96 | ) |
| = | 7 100 | × | 9633 100 | − | 7 100 | × | 96 | − | 6 100 | ( | 9633 100 | − | 96 | ) |
| = | 67431 10000 | − | 168 25 | − | 6 100 | ( | 9633 100 | − | 96 | ) |
| = | 231 10000 | − | 6 100 | ( | 9633 100 | − | 96 | ) |
| = | 231 10000 | − | 6 100 | × | 9633 100 | + | 6 100 | × | 96 |
| = | 231 10000 | − | 28899 5000 | + | 144 25 |
| = | 33 10000 |
| - | 21 200 | + | 7 4 | x | = | 33 10000 |
Transposition :
7 4 | x | = | 33 10000 | + | 21 200 |
Combine the items on the right of the equation:
7 4 | x | = | 1083 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1083 10000 | ÷ | 7 4 |
| = | 1083 10000 | × | 4 7 |
| = | 1083 2500 | × | 1 7 |
We obtained :
| x | = | 1083 17500 |
Convert the result to decimal form :
| x | = | 0.061886 |