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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 0.796 = y/78/(y/78+(1-y)/106) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left 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 0.796 = y/78/(y/78+(1-y)/106) .
Question type: Equation
Solution:Original question:
199 250 | = | y | ÷ | 78 | ÷ | ( | y | ÷ | 78 | + | ( | 1 | − | y | ) | ÷ | 106 | ) |
| Multiply both sides of the equation by: | ( | y | ÷ | 78 | + | ( | 1 | − | y | ) | ÷ | 106 | ) |
199 250 | ( | y | ÷ | 78 | + | ( | 1 | − | y | ) | ÷ | 106 | ) | = | y | ÷ | 78 |
199 250 | y | ÷ | 78 | + | 199 250 | ( | 1 | − | y | ) | ÷ | 106 | = | y | ÷ | 78 |
199 19500 | y | + | 199 26500 | ( | 1 | − | y | ) | = | y | × | 1 78 |
199 19500 | y | + | 199 26500 | × | 1 | − | 199 26500 | y | = | 1 78 | y |
199 19500 | y | + | 199 26500 | − | 199 26500 | y | = | 1 78 | y |
1393 516750 | y | + | 199 26500 | = | 1 78 | y |
Transposition :
1393 516750 | y | − | 1 78 | y | = | - | 199 26500 |
Combine the items on the left of the equation:
| - | 872 86125 | y | = | - | 199 26500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
199 26500 | = | 872 86125 | y |
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 :
872 86125 | y | = | 199 26500 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 199 26500 | ÷ | 872 86125 |
| = | 199 26500 | × | 86125 872 |
| = | 199 212 | × | 689 872 |
We obtained :
| y | = | 137111 184864 |
By reducing fraction, we can get:
| y | = | 2587 3488 |
Convert the result to decimal form :
| y | = | 0.741686 |