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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 （0.09048/17.4-x）+（1.78782/7.18-x）+（0.4415/5-x）+（0.18879/2.17-x）+（0.061/2-x）+（0.54/1-x） = 0 .
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 （0.09048/17.4-x）+（1.78782/7.18-x）+（0.4415/5-x）+（0.18879/2.17-x）+（0.061/2-x）+（0.54/1-x） = 0 .
Question type: Equation
Solution:Original question:
| ( | 1131 12500 | ÷ | 87 5 | − | x | ) | + | ( | 89391 50000 | ÷ | 359 50 | − | x | ) | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) | = | 0 |
| Left side of the equation = | 1131 12500 | ÷ | 87 5 | − | x | + | ( | 89391 50000 | ÷ | 359 50 | − | x | ) | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 13 2500 | − | x | + | ( | 89391 50000 | ÷ | 359 50 | − | x | ) | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 13 2500 | − | x | + | 89391 50000 | ÷ | 359 50 | − | x | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 13 2500 | − | x | + | 89391 359000 | − | x | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 1271 5000 | − | 2 | x | + | ( | 883 2000 | ÷ | 5 | − | x | ) | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 1271 5000 | − | 2 | x | + | 883 2000 | ÷ | 5 | − | x | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 1271 5000 | − | 2 | x | + | 883 10000 | − | x | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 137 400 | − | 3 | x | + | ( | 18879 100000 | ÷ | 217 100 | − | x | ) | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 137 400 | − | 3 | x | + | 18879 100000 | ÷ | 217 100 | − | x | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 137 400 | − | 3 | x | + | 87 1000 | − | x | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 859 2000 | − | 4 | x | + | ( | 61 1000 | ÷ | 2 | − | x | ) | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 859 2000 | − | 4 | x | + | 61 1000 | ÷ | 2 | − | x | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 859 2000 | − | 4 | x | + | 61 2000 | − | x | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 23 50 | − | 5 | x | + | ( | 27 50 | ÷ | 1 | − | x | ) |
| = | 23 50 | − | 5 | x | + | 27 50 | ÷ | 1 | − | x |
| = | 23 50 | − | 5 | x | + | 27 50 | − | x |
| = | 1 | − | 6 | x |
| 1 | − | 6 | x | = | 0 |
Transposition :
| - | 6 | x | = | 0 | − | 1 |
Combine the items on the right of the equation:
| - | 6 | x | = | - | 1 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 1 | = | 6 | 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 :
| 6 | x | = | 1 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1 | ÷ | 6 |
| = | 1 | × | 1 6 |
We obtained :
| x | = | 1 6 |
Convert the result to decimal form :
| x | = | 0.166667 |