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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 0.15 = 0.003/(15.06-14.9)*k .
Question type: Equation
Solution:Original question:
3 20 | = | 3 1000 | ÷ | ( | 753 50 | − | 149 10 | ) | × | k |
| Multiply both sides of the equation by: | ( | 753 50 | − | 149 10 | ) |
3 20 | ( | 753 50 | − | 149 10 | ) | = | 3 1000 | k |
3 20 | × | 753 50 | − | 3 20 | × | 149 10 | = | 3 1000 | k |
2259 1000 | − | 447 200 | = | 3 1000 | k |
3 125 | = | 3 1000 | k |
Transposition :
| - | 3 1000 | k | = | - | 3 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3 125 | = | 3 1000 | k |
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 :
3 1000 | k | = | 3 125 |
The coefficient of the unknown number is reduced to 1 :
| k | = | 3 125 | ÷ | 3 1000 |
| = | 3 125 | × | 1000 3 |
| = | 1 | × | 8 |
We obtained :
| k | = | 8 |