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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-87.532)*60-(87.532*60*0.025%+x*60*0.025%) = 3 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (x-87.532)*60-(87.532*60*0.025%+x*60*0.025%) = 3 .
Question type: Equation
Solution:Original question:
| ( | x | − | 21883 250 | ) | × | 60 | − | ( | 21883 250 | × | 60 | × | 1 4000 | + | x | × | 60 | × | 1 4000 | ) | = | 3 |
| Left side of the equation = | x | × | 60 | − | 21883 250 | × | 60 | − | ( | 21883 250 | × | 60 | × | 1 4000 | + | x | × | 60 | × | 1 4000 | ) |
| = | x | × | 60 | − | 131298 25 | − | ( | 21883 250 | × | 60 | × | 1 4000 | + | x | × | 60 | × | 1 4000 | ) |
| = | 60 | x | − | 131298 25 | − | 21883 250 | × | 60 | × | 1 4000 | − | x | × | 60 | × | 1 4000 |
| = | 60 | x | − | 131298 25 | − | 65649 50000 | − | x | × | 3 200 |
| = | 11997 200 | x | − | 262661649 50000 |
11997 200 | x | − | 262661649 50000 | = | 3 |
Transposition :
11997 200 | x | = | 3 | + | 262661649 50000 |
Combine the items on the right of the equation:
11997 200 | x | = | 262811649 50000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 262811649 50000 | ÷ | 11997 200 |
| = | 262811649 50000 | × | 200 11997 |
| = | 87603883 250 | × | 1 3999 |
We obtained :
| x | = | 87603883 999750 |
Convert the result to decimal form :
| x | = | 87.625789 |