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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 (1.68+x)/(1.02+x) = 1/0.618 .
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 :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1.68+x)/(1.02+x) = 1/0.618 .
Question type: Equation
Solution:Original question:
| ( | 42 25 | + | x | ) | ÷ | ( | 51 50 | + | x | ) | = | 1 | ÷ | 309 500 |
| Multiply both sides of the equation by: | ( | 51 50 | + | x | ) |
| ( | 42 25 | + | x | ) | = | 1 | ÷ | 309 500 | × | ( | 51 50 | + | x | ) |
42 25 | + | x | = | 1 | ÷ | 309 500 | × | ( | 51 50 | + | x | ) |
42 25 | + | x | = | 1 | ÷ | 309 500 | × | 51 50 | + | 1 | ÷ | 309 500 | × | x |
42 25 | + | x | = | 170 103 | + | 500 309 | x |
Transposition :
| x | − | 500 309 | x | = | 170 103 | − | 42 25 |
Combine the items on the left of the equation:
| - | 191 309 | x | = | 170 103 | − | 42 25 |
Combine the items on the right of the equation:
| - | 191 309 | x | = | - | 76 2575 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
76 2575 | = | 191 309 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
191 309 | x | = | 76 2575 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 76 2575 | ÷ | 191 309 |
| = | 76 2575 | × | 309 191 |
We obtained :
| x | = | 23484 491825 |
By reducing fraction, we can get:
| x | = | 228 4775 |
Convert the result to decimal form :
| x | = | 0.047749 |