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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)/2673-2723.2 .
Question type: Equation
Solution:Original question:
| ( | R | − | 5 100 | ) | ÷ | 6 100 | − | 5 100 | = | ( | R | − | 13616 5 | ) | ÷ | 2673 | − | 13616 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 | ) | ÷ | 2673 | − | 13616 5 |
| Right side of the equation = | R | × | 1 2673 | − | 13616 5 | × | 1 2673 | − | 13616 5 |
| = | R | × | 1 2673 | − | 13616 13365 | − | 13616 5 |
| = | 1 2673 | R | − | 36409184 13365 |
100 6 | R | − | 53 60 | = | 1 2673 | R | − | 36409184 13365 |
Transposition :
100 6 | R | − | 1 2673 | R | = | - | 36409184 13365 | + | 53 60 |
Combine the items on the left of the equation:
44549 2673 | R | = | - | 36409184 13365 | + | 53 60 |
Combine the items on the right of the equation:
44549 2673 | R | = | - | 145589513 53460 |
The coefficient of the unknown number is reduced to 1 :
| R | = | - | 145589513 53460 | ÷ | 44549 2673 |
| = | - | 145589513 53460 | × | 2673 44549 |
| = | - | 145589513 20 | × | 1 44549 |
We obtained :
| R | = | - | 145589513 890980 |
Convert the result to decimal form :
| R | = | - 163.403795 |