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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 15/89.14+3/45+30/1650+X/1000+(49.5-X)/200 = 0.35 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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 15/89.14+3/45+30/1650+X/1000+(49.5-X)/200 = 0.35 .
Question type: Equation
Solution:Original question:
| 15 | ÷ | 4457 50 | + | 3 | ÷ | 45 | + | 30 | ÷ | 1650 | + | X | ÷ | 1000 | + | ( | 99 2 | − | X | ) | ÷ | 200 | = | 7 20 |
| Left side of the equation = | 750 4457 | + | 1 15 | + | 1 55 | + | X | × | 1 1000 | + | ( | 99 2 | − | X | ) | × | 1 200 |
| = | 186148 735405 | + | 1 1000 | X | + | ( | 99 2 | − | X | ) | × | 1 200 |
186148 735405 | + | 1 1000 | X | + | ( | 99 2 | − | X | ) | × | 1 200 | = | 7 20 |
| Left side of the equation = | 186148 735405 | + | 1 1000 | X | + | 99 2 | × | 1 200 | − | X | × | 1 200 |
| = | 186148 735405 | + | 1 1000 | X | + | 99 400 | − | X | × | 1 200 |
| = | 29452859 58832400 | − | 1 250 | X |
29452859 58832400 | − | 1 250 | X | = | 7 20 |
Transposition :
| - | 1 250 | X | = | 7 20 | − | 29452859 58832400 |
Combine the items on the right of the equation:
| - | 1 250 | X | = | - | 8861519 58832400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8861519 58832400 | = | 1 250 | 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 :
1 250 | X | = | 8861519 58832400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8861519 58832400 | ÷ | 1 250 |
| = | 8861519 58832400 | × | 250 |
| = | 8861519 1176648 | × | 5 |
We obtained :
| X | = | 44307595 1176648 |
Convert the result to decimal form :
| X | = | 37.655777 |