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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 1.094/74.728 = (72.7×0.958/74.728+x)/(72.7+x) .
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 1.094/74.728 = (72.7×0.958/74.728+x)/(72.7+x) .
Question type: Equation
Solution:Original question:
547 500 | ÷ | 9341 125 | = | ( | 727 10 | × | 479 500 | ÷ | 9341 125 | + | x | ) | ÷ | ( | 727 10 | + | x | ) |
| Multiply both sides of the equation by: | ( | 727 10 | + | x | ) |
547 500 | ÷ | 9341 125 | × | ( | 727 10 | + | x | ) | = | ( | 727 10 | × | 479 500 | ÷ | 9341 125 | + | x | ) |
547 500 | ÷ | 9341 125 | × | 727 10 | + | 547 500 | ÷ | 9341 125 | × | x | = | ( | 727 10 | × | 479 500 | ÷ | 9341 125 | + | x | ) |
547 500 | ÷ | 9341 125 | × | 727 10 | + | 547 500 | ÷ | 9341 125 | × | x | = | 727 10 | × | 479 500 | ÷ | 9341 125 | + | x |
397669 373640 | + | 547 37364 | x | = | 348233 373640 | + | x |
Transposition :
547 37364 | x | − | x | = | 348233 373640 | − | 397669 373640 |
Combine the items on the left of the equation:
| - | 36817 37364 | x | = | 348233 373640 | − | 397669 373640 |
Combine the items on the right of the equation:
| - | 36817 37364 | x | = | - | 12359 93410 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
12359 93410 | = | 36817 37364 | 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 :
36817 37364 | x | = | 12359 93410 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 12359 93410 | ÷ | 36817 37364 |
| = | 12359 93410 | × | 37364 36817 |
| = | 12359 46705 | × | 18682 36817 |
We obtained :
| x | = | 230890838 1719537985 |
By reducing fraction, we can get:
| x | = | 24718 184085 |
Convert the result to decimal form :
| x | = | 0.134275 |