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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 (1000000x-27520)/(1000000x+1000000-27520) = 3.29% .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
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 (1000000x-27520)/(1000000x+1000000-27520) = 3.29% .
Question type: Equation
Solution:Original question:
| ( | 1000000 | x | − | 27520 | ) | ÷ | ( | 1000000 | x | + | 1000000 | − | 27520 | ) | = | 329 10000 |
| Multiply both sides of the equation by: | ( | 1000000 | x | + | 1000000 | − | 27520 | ) |
| ( | 1000000 | x | − | 27520 | ) | = | 329 10000 | ( | 1000000 | x | + | 1000000 | − | 27520 | ) |
| 1000000 | x | − | 27520 | = | 329 10000 | ( | 1000000 | x | + | 1000000 | − | 27520 | ) |
| 1000000 | x | − | 27520 | = | 329 10000 | × | 1000000 | x | + | 329 10000 | × | 1000000 | − | 329 10000 | × | 27520 |
| 1000000 | x | − | 27520 | = | 32900 | x | + | 32900 | − | 113176 125 |
| 1000000 | x | − | 27520 | = | 32900 | x | + | 3999324 125 |
Transposition :
| 1000000 | x | − | 32900 | x | = | 3999324 125 | + | 27520 |
Combine the items on the left of the equation:
| 967100 | x | = | 3999324 125 | + | 27520 |
Combine the items on the right of the equation:
| 967100 | x | = | 7439324 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7439324 125 | ÷ | 967100 |
| = | 7439324 125 | × | 1 967100 |
| = | 1859831 125 | × | 1 241775 |
We obtained :
| x | = | 1859831 30221875 |
Convert the result to decimal form :
| x | = | 0.061539 |