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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 172.1598+0.102379x = 164.9699+(x-11.2)/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 172.1598+0.102379x = 164.9699+(x-11.2)/4 .
Question type: Equation
Solution:Original question:
860799 5000 | + | 102379 1000000 | x | = | 1649699 10000 | + | ( | x | − | 56 5 | ) | ÷ | 4 |
| Right side of the equation = | 1649699 10000 | + | x | × | 1 4 | − | 56 5 | × | 1 4 |
| = | 1649699 10000 | + | x | × | 1 4 | − | 14 5 |
| = | 1621699 10000 | + | 1 4 | x |
860799 5000 | + | 102379 1000000 | x | = | 1621699 10000 | + | 1 4 | x |
Transposition :
102379 1000000 | x | − | 1 4 | x | = | 1621699 10000 | − | 860799 5000 |
Combine the items on the left of the equation:
| - | 147621 1000000 | x | = | 1621699 10000 | − | 860799 5000 |
Combine the items on the right of the equation:
| - | 147621 1000000 | x | = | - | 99899 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
99899 10000 | = | 147621 1000000 | 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 :
147621 1000000 | x | = | 99899 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 99899 10000 | ÷ | 147621 1000000 |
| = | 99899 10000 | × | 1000000 147621 |
| = | 99899 | × | 100 147621 |
We obtained :
| x | = | 9989900 147621 |
Convert the result to decimal form :
| x | = | 67.672621 |