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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 60/90 = (1+0.01*x)/(1+1*x) .
Question type: Equation
Solution:Original question:
| 60 | ÷ | 90 | = | ( | 1 | + | 1 100 | x | ) | ÷ | ( | 1 | + | 1 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 1 | x | ) |
| 60 | ÷ | 90 | × | ( | 1 | + | 1 | x | ) | = | ( | 1 | + | 1 100 | x | ) |
| 60 | ÷ | 90 | × | 1 | + | 60 | ÷ | 90 | × | 1 | x | = | ( | 1 | + | 1 100 | x | ) |
| 60 | ÷ | 90 | × | 1 | + | 60 | ÷ | 90 | × | 1 | x | = | 1 | + | 1 100 | x |
2 3 | + | 2 3 | x | = | 1 | + | 1 100 | x |
Transposition :
2 3 | x | − | 1 100 | x | = | 1 | − | 2 3 |
Combine the items on the left of the equation:
197 300 | x | = | 1 | − | 2 3 |
Combine the items on the right of the equation:
197 300 | x | = | 1 3 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1 3 | ÷ | 197 300 |
| = | 1 3 | × | 300 197 |
| = | 1 | × | 100 197 |
We obtained :
| x | = | 100 197 |
Convert the result to decimal form :
| x | = | 0.507614 |