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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 (R-5%)/6%-5% = (R-2723.2)/50.2 .
Question type: Equation
Solution:Original question:
| ( | R | − | 5 100 | ) | ÷ | 6 100 | − | 5 100 | = | ( | R | − | 13616 5 | ) | ÷ | 251 5 |
| Left side of the equation = | R | × | 100 6 | − | 5 100 | × | 100 6 | − | 5 100 |
| = | R | × | 100 6 | − | 5 6 | − | 5 100 |
| = | 100 6 | R | − | 53 60 |
100 6 | R | − | 53 60 | = | ( | R | − | 13616 5 | ) | ÷ | 251 5 |
| Right side of the equation = | R | × | 5 251 | − | 13616 5 | × | 5 251 |
| = | R | × | 5 251 | − | 13616 251 |
100 6 | R | − | 53 60 | = | 5 251 | R | − | 13616 251 |
Transposition :
100 6 | R | − | 5 251 | R | = | - | 13616 251 | + | 53 60 |
Combine the items on the left of the equation:
12535 753 | R | = | - | 13616 251 | + | 53 60 |
Combine the items on the right of the equation:
12535 753 | R | = | - | 803657 15060 |
The coefficient of the unknown number is reduced to 1 :
| R | = | - | 803657 15060 | ÷ | 12535 753 |
| = | - | 803657 15060 | × | 753 12535 |
| = | - | 7373 5020 | × | 251 115 |
We obtained :
| R | = | - | 1850623 577300 |
By reducing fraction, we can get:
| R | = | - | 7373 2300 |
Convert the result to decimal form :
| R | = | - 3.205652 |