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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 168.9541+0.102379x = 163.5528+(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 168.9541+0.102379x = 163.5528+(x-11.2)/4 .
Question type: Equation
Solution:Original question:
1689541 10000 | + | 102379 1000000 | x | = | 204441 1250 | + | ( | x | − | 56 5 | ) | ÷ | 4 |
| Right side of the equation = | 204441 1250 | + | x | × | 1 4 | − | 56 5 | × | 1 4 |
| = | 204441 1250 | + | x | × | 1 4 | − | 14 5 |
| = | 200941 1250 | + | 1 4 | x |
1689541 10000 | + | 102379 1000000 | x | = | 200941 1250 | + | 1 4 | x |
Transposition :
102379 1000000 | x | − | 1 4 | x | = | 200941 1250 | − | 1689541 10000 |
Combine the items on the left of the equation:
| - | 147621 1000000 | x | = | 200941 1250 | − | 1689541 10000 |
Combine the items on the right of the equation:
| - | 147621 1000000 | x | = | - | 82013 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
82013 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 | = | 82013 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 82013 10000 | ÷ | 147621 1000000 |
| = | 82013 10000 | × | 1000000 147621 |
| = | 82013 | × | 100 147621 |
We obtained :
| x | = | 8201300 147621 |
Convert the result to decimal form :
| x | = | 55.556459 |