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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 (2.18-x)*5377.7-(0.005+x)*5355.36 = 45.8 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
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 (2.18-x)*5377.7-(0.005+x)*5355.36 = 45.8 .
Question type: Equation
Solution:Original question:
| ( | 109 50 | − | x | ) | × | 53777 10 | − | ( | 1 200 | + | x | ) | × | 133884 25 | = | 229 5 |
| Left side of the equation = | 109 50 | × | 53777 10 | − | x | × | 53777 10 | − | ( | 1 200 | + | x | ) | × | 133884 25 |
| = | 5861693 500 | − | x | × | 53777 10 | − | ( | 1 200 | + | x | ) | × | 133884 25 |
| = | 5861693 500 | − | 53777 10 | x | − | 1 200 | × | 133884 25 | − | x | × | 133884 25 |
| = | 5861693 500 | − | 53777 10 | x | − | 33471 1250 | − | x | × | 133884 25 |
| = | 29241523 2500 | − | 536653 50 | x |
29241523 2500 | − | 536653 50 | x | = | 229 5 |
Transposition :
| - | 536653 50 | x | = | 229 5 | − | 29241523 2500 |
Combine the items on the right of the equation:
| - | 536653 50 | x | = | - | 29127023 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
29127023 2500 | = | 536653 50 | 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 :
536653 50 | x | = | 29127023 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 29127023 2500 | ÷ | 536653 50 |
| = | 29127023 2500 | × | 50 536653 |
| = | 29127023 50 | × | 1 536653 |
We obtained :
| x | = | 29127023 26832650 |
Convert the result to decimal form :
| x | = | 1.085507 |