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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 17 = 13.9+0.02/(0.02+0.98x)*13.7 .
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 17 = 13.9+0.02/(0.02+0.98x)*13.7 .
Question type: Equation
Solution:Original question:
| 17 | = | 139 10 | + | 1 50 | ÷ | ( | 1 50 | + | 49 50 | x | ) | × | 137 10 |
| Multiply both sides of the equation by: | ( | 1 50 | + | 49 50 | x | ) |
| 17 | ( | 1 50 | + | 49 50 | x | ) | = | 139 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 137 10 |
| 17 | × | 1 50 | + | 17 | × | 49 50 | x | = | 139 10 | ( | 1 50 | + | 49 50 | x | ) | + | 1 50 | × | 137 10 |
| 17 | × | 1 50 | + | 17 | × | 49 50 | x | = | 139 10 | × | 1 50 | + | 139 10 | × | 49 50 | x | + | 1 50 | × | 137 10 |
17 50 | + | 833 50 | x | = | 139 500 | + | 6811 500 | x | + | 137 500 |
17 50 | + | 833 50 | x | = | 69 125 | + | 6811 500 | x |
Transposition :
833 50 | x | − | 6811 500 | x | = | 69 125 | − | 17 50 |
Combine the items on the left of the equation:
1519 500 | x | = | 69 125 | − | 17 50 |
Combine the items on the right of the equation:
1519 500 | x | = | 53 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 53 250 | ÷ | 1519 500 |
| = | 53 250 | × | 500 1519 |
| = | 53 | × | 2 1519 |
We obtained :
| x | = | 106 1519 |
Convert the result to decimal form :
| x | = | 0.069783 |