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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 （26.08-23.37）/（82.3-82.7） = （14.91-23.37）/（x-82.7) .
Question type: Equation
Solution:Original question:
| ( | 652 25 | − | 2337 100 | ) | ÷ | ( | 823 10 | − | 827 10 | ) | = | ( | 1491 100 | − | 2337 100 | ) | ÷ | ( | x | − | 827 10 | ) |
| Multiply both sides of the equation by: | ( | 823 10 | − | 827 10 | ) | , | ( | x | − | 827 10 | ) |
| ( | 652 25 | − | 2337 100 | ) | ( | x | − | 827 10 | ) | = | ( | 1491 100 | − | 2337 100 | ) | ( | 823 10 | − | 827 10 | ) |
652 25 | ( | x | − | 827 10 | ) | − | 2337 100 | ( | x | − | 827 10 | ) | = | ( | 1491 100 | − | 2337 100 | ) | ( | 823 10 | − | 827 10 | ) |
652 25 | ( | x | − | 827 10 | ) | − | 2337 100 | ( | x | − | 827 10 | ) | = | 1491 100 | ( | 823 10 | − | 827 10 | ) | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 652 25 | × | 827 10 | − | 2337 100 | ( | x | − | 827 10 | ) | = | 1491 100 | ( | 823 10 | − | 827 10 | ) | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 652 25 | × | 827 10 | − | 2337 100 | ( | x | − | 827 10 | ) | = | 1491 100 | × | 823 10 | − | 1491 100 | × | 827 10 | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 269602 125 | − | 2337 100 | ( | x | − | 827 10 | ) | = | 1227093 1000 | − | 1233057 1000 | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 269602 125 | − | 2337 100 | ( | x | − | 827 10 | ) | = | - | 1491 250 | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 269602 125 | − | 2337 100 | x | + | 2337 100 | × | 827 10 | = | - | 1491 250 | − | 2337 100 | ( | 823 10 | − | 827 10 | ) |
652 25 | x | − | 269602 125 | − | 2337 100 | x | + | 2337 100 | × | 827 10 | = | - | 1491 250 | − | 2337 100 | × | 823 10 | + | 2337 100 | × | 827 10 |
652 25 | x | − | 269602 125 | − | 2337 100 | x | + | 1932699 1000 | = | - | 1491 250 | − | 1923351 1000 | + | 1932699 1000 |
271 100 | x | − | 224117 1000 | = | 423 125 |
Transposition :
271 100 | x | = | 423 125 | + | 224117 1000 |
Combine the items on the right of the equation:
271 100 | x | = | 227501 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 227501 1000 | ÷ | 271 100 |
| = | 227501 1000 | × | 100 271 |
| = | 227501 10 | × | 1 271 |
We obtained :
| x | = | 227501 2710 |
Convert the result to decimal form :
| x | = | 83.948708 |