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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 (6.509+2x)/(6.509+x)-1 = 0.33% .
Question type: Equation
Solution:Original question:
| ( | 6509 1000 | + | 2 | x | ) | ÷ | ( | 6509 1000 | + | x | ) | − | 1 | = | 33 10000 |
| Multiply both sides of the equation by: | ( | 6509 1000 | + | x | ) |
| ( | 6509 1000 | + | 2 | x | ) | − | 1 | ( | 6509 1000 | + | x | ) | = | 33 10000 | ( | 6509 1000 | + | x | ) |
6509 1000 | + | 2 | x | − | 1 | ( | 6509 1000 | + | x | ) | = | 33 10000 | ( | 6509 1000 | + | x | ) |
6509 1000 | + | 2 | x | − | 1 | ( | 6509 1000 | + | x | ) | = | 33 10000 | × | 6509 1000 | + | 33 10000 | x |
6509 1000 | + | 2 | x | − | 1 | ( | 6509 1000 | + | x | ) | = | 214797 10000000 | + | 33 10000 | x |
6509 1000 | + | 2 | x | − | 1 | × | 6509 1000 | − | 1 | x | = | 214797 10000000 | + | 33 10000 | x |
6509 1000 | + | 2 | x | − | 6509 1000 | − | 1 | x | = | 214797 10000000 | + | 33 10000 | x |
| 0 | + | 1 | x | = | 214797 10000000 | + | 33 10000 | x |
Transposition :
| 1 | x | − | 33 10000 | x | = | 214797 10000000 |
Combine the items on the left of the equation:
9967 10000 | x | = | 214797 10000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 214797 10000000 | ÷ | 9967 10000 |
| = | 214797 10000000 | × | 10000 9967 |
| = | 214797 1000 | × | 1 9967 |
We obtained :
| x | = | 214797 9967000 |
Convert the result to decimal form :
| x | = | 0.021551 |