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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+0.5*x)/(1+5*x) = 0.166 .
Question type: Equation
Solution:Original question:
| ( | 1 | + | 1 2 | x | ) | ÷ | ( | 1 | + | 5 | x | ) | = | 83 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 5 | x | ) |
| ( | 1 | + | 1 2 | x | ) | = | 83 500 | ( | 1 | + | 5 | x | ) |
| 1 | + | 1 2 | x | = | 83 500 | ( | 1 | + | 5 | x | ) |
| 1 | + | 1 2 | x | = | 83 500 | × | 1 | + | 83 500 | × | 5 | x |
| 1 | + | 1 2 | x | = | 83 500 | + | 83 100 | x |
Transposition :
1 2 | x | - | 83 100 | x | = | 83 500 | - | 1 |
Combine the items on the left of the equation:
| - | 33 100 | x | = | 83 500 | - | 1 |
Combine the items on the right of the equation:
| - | 33 100 | x | = | - | 417 500 |
Multiply both sides of the equation by -1 :
33 100 | x | = | 417 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 417 500 | ÷ | 33 100 |
| = | 417 500 | × | 100 33 |
| = | 139 5 | × | 1 11 |
Get the solution of the equation :
| x | = | 139 55 |
Convert the result to decimal form :
| x | = | 2.527273 |