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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+0.04/(0.04+0.96x)*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+0.04/(0.04+0.96x)*36 .
Question type: Equation
Solution:Original question:
403 10 | = | 259 10 | + | 1 25 | ÷ | ( | 1 25 | + | 24 25 | x | ) | × | 36 |
| Multiply both sides of the equation by: | ( | 1 25 | + | 24 25 | x | ) |
403 10 | ( | 1 25 | + | 24 25 | x | ) | = | 259 10 | ( | 1 25 | + | 24 25 | x | ) | + | 1 25 | × | 36 |
403 10 | × | 1 25 | + | 403 10 | × | 24 25 | x | = | 259 10 | ( | 1 25 | + | 24 25 | x | ) | + | 1 25 | × | 36 |
403 10 | × | 1 25 | + | 403 10 | × | 24 25 | x | = | 259 10 | × | 1 25 | + | 259 10 | × | 24 25 | x | + | 1 25 | × | 36 |
403 250 | + | 4836 125 | x | = | 259 250 | + | 3108 125 | x | + | 36 25 |
403 250 | + | 4836 125 | x | = | 619 250 | + | 3108 125 | x |
Transposition :
4836 125 | x | − | 3108 125 | x | = | 619 250 | − | 403 250 |
Combine the items on the left of the equation:
1728 125 | x | = | 619 250 | − | 403 250 |
Combine the items on the right of the equation:
1728 125 | x | = | 108 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 108 125 | ÷ | 1728 125 |
| = | 108 125 | × | 125 1728 |
| = | 1 | × | 1 16 |
We obtained :
| x | = | 1 16 |
Convert the result to decimal form :
| x | = | 0.0625 |