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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 (1508-x)*138.2*1.16*1.20*2.7 = 2088 .
Question type: Equation
Solution:Original question:
| ( | 1508 | − | x | ) | × | 691 5 | × | 29 25 | × | 6 5 | × | 27 10 | = | 2088 |
| Left side of the equation = | ( | 1508 | − | x | ) | × | 1623159 3125 |
| ( | 1508 | − | x | ) | × | 1623159 3125 | = | 2088 |
| Left side of the equation = | 1508 | × | 1623159 3125 | − | x | × | 1623159 3125 |
| = | 2447723772 3125 | − | x | × | 1623159 3125 |
2447723772 3125 | − | 1623159 3125 | x | = | 2088 |
Transposition :
| - | 1623159 3125 | x | = | 2088 | − | 2447723772 3125 |
Combine the items on the right of the equation:
| - | 1623159 3125 | x | = | - | 2441198772 3125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2441198772 3125 | = | 1623159 3125 | 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 :
1623159 3125 | x | = | 2441198772 3125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2441198772 3125 | ÷ | 1623159 3125 |
| = | 2441198772 3125 | × | 3125 1623159 |
| = | 9353252 | × | 1 6219 |
We obtained :
| x | = | 9353252 6219 |
Convert the result to decimal form :
| x | = | 1503.980061 |