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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 111.2x/(x+2)+111.2 = 0.0015 .
Question type: Equation
Solution:Original question:
556 5 | x | ÷ | ( | x | + | 2 | ) | + | 556 5 | = | 3 2000 |
| Multiply both sides of the equation by: | ( | x | + | 2 | ) |
556 5 | x | + | 556 5 | ( | x | + | 2 | ) | = | 3 2000 | ( | x | + | 2 | ) |
556 5 | x | + | 556 5 | x | + | 556 5 | × | 2 | = | 3 2000 | ( | x | + | 2 | ) |
556 5 | x | + | 556 5 | x | + | 556 5 | × | 2 | = | 3 2000 | x | + | 3 2000 | × | 2 |
556 5 | x | + | 556 5 | x | + | 1112 5 | = | 3 2000 | x | + | 3 1000 |
1112 5 | x | + | 1112 5 | = | 3 2000 | x | + | 3 1000 |
Transposition :
1112 5 | x | − | 3 2000 | x | = | 3 1000 | − | 1112 5 |
Combine the items on the left of the equation:
444797 2000 | x | = | 3 1000 | − | 1112 5 |
Combine the items on the right of the equation:
444797 2000 | x | = | - | 222397 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 222397 1000 | ÷ | 444797 2000 |
| = | - | 222397 1000 | × | 2000 444797 |
| = | - | 222397 | × | 2 444797 |
We obtained :
| x | = | - | 444794 444797 |
Convert the result to decimal form :
| x | = | - 0.999993 |