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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-0.09)/0.01 = 10.11/33.91 .
Question type: Equation
Solution:Original question:
| ( | x | − | 9 100 | ) | ÷ | 1 100 | = | 1011 100 | ÷ | 3391 100 |
| Left side of the equation = | x | × | 100 | − | 9 100 | × | 100 |
| = | x | × | 100 | − | 9 |
| 100 | x | − | 9 | = | 1011 100 | ÷ | 3391 100 |
| Right side of the equation = | 1011 3391 |
| 100 | x | − | 9 | = | 1011 3391 |
Transposition :
| 100 | x | = | 1011 3391 | + | 9 |
Combine the items on the right of the equation:
| 100 | x | = | 31530 3391 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 31530 3391 | ÷ | 100 |
| = | 31530 3391 | × | 1 100 |
| = | 3153 3391 | × | 1 10 |
We obtained :
| x | = | 3153 33910 |
Convert the result to decimal form :
| x | = | 0.092981 |