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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 -274.24 = -(2.092(x-24.62)+5.02(x-24.62)) .
Question type: Equation
Solution:Original question:
Remove the bracket on the right 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 -274.24 = -(2.092(x-24.62)+5.02(x-24.62)) .
Question type: Equation
Solution:Original question:
| - | 6856 25 | = | - | ( | 523 250 | ( | x | − | 1231 50 | ) | + | 251 50 | ( | x | − | 1231 50 | ) | ) |
| Right side of the equation = | - | 523 250 | ( | x | − | 1231 50 | ) | − | 251 50 | ( | x | − | 1231 50 | ) |
| = | - | 523 250 | x | + | 523 250 | × | 1231 50 | − | 251 50 | ( | x | − | 1231 50 | ) |
| = | - | 523 250 | x | + | 643813 12500 | − | 251 50 | ( | x | − | 1231 50 | ) |
| = | - | 523 250 | x | + | 643813 12500 | − | 251 50 | x | + | 251 50 | × | 1231 50 |
| = | - | 523 250 | x | + | 643813 12500 | − | 251 50 | x | + | 308981 2500 |
| = | - | 889 125 | x | + | 1094359 6250 |
| - | 6856 25 | = | - | 889 125 | x | + | 1094359 6250 |
Transposition :
889 125 | x | = | 1094359 6250 | + | 6856 25 |
Combine the items on the right of the equation:
889 125 | x | = | 2808359 6250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2808359 6250 | ÷ | 889 125 |
| = | 2808359 6250 | × | 125 889 |
| = | 2808359 50 | × | 1 889 |
We obtained :
| x | = | 2808359 44450 |
Convert the result to decimal form :
| x | = | 63.18018 |