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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 0.111:x = 0.666:4 .
Question type: Equation
Solution:Original question:
111 1000 | ÷ | x | = | 333 500 | ÷ | 4 |
| Multiply both sides of the equation by: | x |
111 1000 | = | 333 500 | ÷ | 4 | × | x |
Transposition :
| - | 333 500 | ÷ | 4 | × | x | = | - | 111 1000 |
Calculate the items on the left of the equation:
| - | 333 2000 | x | = | - | 111 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
111 1000 | = | 333 2000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
333 2000 | x | = | 111 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 111 1000 | ÷ | 333 2000 |
| = | 111 1000 | × | 2000 333 |
| = | 1 | × | 2 3 |
We obtained :
| x | = | 2 3 |
Convert the result to decimal form :
| x | = | 0.666667 |