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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 1/0.111 = x/0.05196+(0.8-x)/0.05213 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right 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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1/0.111 = x/0.05196+(0.8-x)/0.05213 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 111 1000 | = | x | ÷ | 1299 25000 | + | ( | 4 5 | − | x | ) | ÷ | 5213 100000 |
| Left side of the equation = | 1000 111 |
1000 111 | = | x | ÷ | 1299 25000 | + | ( | 4 5 | − | x | ) | ÷ | 5213 100000 |
| Right side of the equation = | 25000 1299 | x | + | 4 5 | × | 100000 5213 | − | x | × | 100000 5213 |
| = | 25000 1299 | x | + | 80000 5213 | − | x | × | 100000 5213 |
| = | 425000 6771687 | x | + | 80000 5213 |
1000 111 | = | 425000 6771687 | x | + | 80000 5213 |
Transposition :
| - | 425000 6771687 | x | = | 80000 5213 | − | 1000 111 |
Combine the items on the right of the equation:
| - | 425000 6771687 | x | = | 3667000 578643 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 3667000 578643 | = | 425000 6771687 | 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 :
425000 6771687 | x | = | - | 3667000 578643 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 3667000 578643 | ÷ | 425000 6771687 |
| = | - | 3667000 578643 | × | 6771687 425000 |
| = | - | 3667 14837 | × | 173633 425 |
We obtained :
| x | = | - | 636712211 6305725 |
By reducing fraction, we can get:
| x | = | - | 1587811 15725 |
Convert the result to decimal form :
| x | = | - 100.973672 |