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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 (264.24+2x)/(264.24+x)-1 = 1.35% .
Question type: Equation
Solution:Original question:
| ( | 6606 25 | + | 2 | x | ) | ÷ | ( | 6606 25 | + | x | ) | − | 1 | = | 27 2000 |
| Multiply both sides of the equation by: | ( | 6606 25 | + | x | ) |
| ( | 6606 25 | + | 2 | x | ) | − | 1 | ( | 6606 25 | + | x | ) | = | 27 2000 | ( | 6606 25 | + | x | ) |
6606 25 | + | 2 | x | − | 1 | ( | 6606 25 | + | x | ) | = | 27 2000 | ( | 6606 25 | + | x | ) |
6606 25 | + | 2 | x | − | 1 | ( | 6606 25 | + | x | ) | = | 27 2000 | × | 6606 25 | + | 27 2000 | x |
6606 25 | + | 2 | x | − | 1 | ( | 6606 25 | + | x | ) | = | 89181 25000 | + | 27 2000 | x |
6606 25 | + | 2 | x | − | 1 | × | 6606 25 | − | 1 | x | = | 89181 25000 | + | 27 2000 | x |
6606 25 | + | 2 | x | − | 6606 25 | − | 1 | x | = | 89181 25000 | + | 27 2000 | x |
| 0 | + | 1 | x | = | 89181 25000 | + | 27 2000 | x |
Transposition :
| 1 | x | − | 27 2000 | x | = | 89181 25000 |
Combine the items on the left of the equation:
1973 2000 | x | = | 89181 25000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 89181 25000 | ÷ | 1973 2000 |
| = | 89181 25000 | × | 2000 1973 |
| = | 89181 25 | × | 2 1973 |
We obtained :
| x | = | 178362 49325 |
Convert the result to decimal form :
| x | = | 3.616057 |