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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 （x-2.5）/x = 0.333333333 .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 2 | ) | ÷ | x | = | 333333333 1000000000 |
| Multiply both sides of the equation by: | x |
| ( | x | − | 5 2 | ) | = | 333333333 1000000000 | x |
| x | − | 5 2 | = | 333333333 1000000000 | x |
Transposition :
| x | − | 333333333 1000000000 | x | = | 5 2 |
Combine the items on the left of the equation:
666666667 1000000000 | x | = | 5 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5 2 | ÷ | 666666667 1000000000 |
| = | 5 2 | × | 1000000000 666666667 |
| = | 5 | × | 500000000 666666667 |
We obtained :
| x | = | 2500000000 666666667 |
Convert the result to decimal form :
| x | = | 3.75 |