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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 172.1599+0.014286x = 164.9699+(x-11.4)/4 .
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 left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 172.1599+0.014286x = 164.9699+(x-11.4)/4 .
Question type: Equation
Solution:Original question:
1721599 10000 | + | 7143 500000 | x | = | 1649699 10000 | + | ( | x | − | 57 5 | ) | ÷ | 4 |
| Right side of the equation = | 1649699 10000 | + | x | × | 1 4 | − | 57 5 | × | 1 4 |
| = | 1649699 10000 | + | x | × | 1 4 | − | 57 20 |
| = | 1621199 10000 | + | 1 4 | x |
1721599 10000 | + | 7143 500000 | x | = | 1621199 10000 | + | 1 4 | x |
Transposition :
7143 500000 | x | − | 1 4 | x | = | 1621199 10000 | − | 1721599 10000 |
Combine the items on the left of the equation:
| - | 117857 500000 | x | = | 1621199 10000 | − | 1721599 10000 |
Combine the items on the right of the equation:
| - | 117857 500000 | x | = | - | 251 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
251 25 | = | 117857 500000 | 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 :
117857 500000 | x | = | 251 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 251 25 | ÷ | 117857 500000 |
| = | 251 25 | × | 500000 117857 |
| = | 251 | × | 20000 117857 |
We obtained :
| x | = | 5020000 117857 |
Convert the result to decimal form :
| x | = | 42.593991 |