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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 40.3 = 25.9+0.02/(0.02+0.98x)*36 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right 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 40.3 = 25.9+0.02/(0.02+0.98x)*36 .
Question type: Equation
Solution:Original question:
403 10 | = | 259 10 | + | 1 50 | ÷ | ( | 1 50 | + | 49 50 | x | ) | × | 36 |
| Multiply both sides of the equation by: | ( | 1 50 | + | 49 50 | x | ) |
403 10 | ( | 1 50 | + | 49 50 | x | ) | = | 259 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 36 |
403 10 | × | 1 50 | + | 403 10 | × | 49 50 | x | = | 259 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 36 |
403 10 | × | 1 50 | + | 403 10 | × | 49 50 | x | = | 259 10 | × | 1 50 | + | 259 10 | × | 49 50 | x | + | 1 50 | × | 36 |
403 500 | + | 19747 500 | x | = | 259 500 | + | 12691 500 | x | + | 18 25 |
403 500 | + | 19747 500 | x | = | 619 500 | + | 12691 500 | x |
Transposition :
19747 500 | x | − | 12691 500 | x | = | 619 500 | − | 403 500 |
Combine the items on the left of the equation:
1764 125 | x | = | 619 500 | − | 403 500 |
Combine the items on the right of the equation:
1764 125 | x | = | 54 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 54 125 | ÷ | 1764 125 |
| = | 54 125 | × | 125 1764 |
| = | 3 | × | 1 98 |
We obtained :
| x | = | 3 98 |
Convert the result to decimal form :
| x | = | 0.030612 |