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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 (0.003+x)/(0.006+x) = 0.628 .
Question type: Equation
Solution:Original question:
| ( | 3 1000 | + | x | ) | ÷ | ( | 3 500 | + | x | ) | = | 157 250 |
| Multiply both sides of the equation by: | ( | 3 500 | + | x | ) |
| ( | 3 1000 | + | x | ) | = | 157 250 | ( | 3 500 | + | x | ) |
3 1000 | + | x | = | 157 250 | ( | 3 500 | + | x | ) |
3 1000 | + | x | = | 157 250 | × | 3 500 | + | 157 250 | x |
3 1000 | + | x | = | 471 125000 | + | 157 250 | x |
Transposition :
| x | − | 157 250 | x | = | 471 125000 | − | 3 1000 |
Combine the items on the left of the equation:
93 250 | x | = | 471 125000 | − | 3 1000 |
Combine the items on the right of the equation:
93 250 | x | = | 12 15625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 12 15625 | ÷ | 93 250 |
| = | 12 15625 | × | 250 93 |
| = | 4 125 | × | 2 31 |
We obtained :
| x | = | 8 3875 |
Convert the result to decimal form :
| x | = | 0.002065 |