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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 2.78x/(1400+x) = 0.08657 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 2.78x/(1400+x) = 0.08657 .
Question type: Equation
Solution:Original question:
139 50 | x | ÷ | ( | 1400 | + | x | ) | = | 8657 100000 |
| Multiply both sides of the equation by: | ( | 1400 | + | x | ) |
139 50 | x | = | 8657 100000 | ( | 1400 | + | x | ) |
139 50 | x | = | 8657 100000 | × | 1400 | + | 8657 100000 | x |
139 50 | x | = | 60599 500 | + | 8657 100000 | x |
Transposition :
139 50 | x | − | 8657 100000 | x | = | 60599 500 |
Combine the items on the left of the equation:
269343 100000 | x | = | 60599 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 60599 500 | ÷ | 269343 100000 |
| = | 60599 500 | × | 100000 269343 |
| = | 60599 | × | 200 269343 |
We obtained :
| x | = | 12119800 269343 |
Convert the result to decimal form :
| x | = | 44.997642 |