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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 49/(85891022/51)*{1752878-(85891022/51)} = x .
Question type: Equation
Solution:Original question:
| 49 | ÷ | ( | 85891022 | ÷ | 51 | ) | × | ( | 1752878 | − | ( | 85891022 | ÷ | 51 | ) | ) | = | x |
| Multiply both sides of the equation by: | ( | 85891022 | ÷ | 51 | ) |
| 49 | ( | 1752878 | − | ( | 85891022 | ÷ | 51 | ) | ) | = | x | ( | 85891022 | ÷ | 51 | ) |
| 49 | × | 1752878 | − | 49 | ( | 85891022 | ÷ | 51 | ) | = | x | ( | 85891022 | ÷ | 51 | ) |
| 49 | × | 1752878 | − | 49 | ( | 85891022 | ÷ | 51 | ) | = | x | × | 85891022 | ÷ | 51 |
| 85891022 | − | 49 | ( | 85891022 | ÷ | 51 | ) | = | x | × | 85891022 51 |
| 85891022 | − | 49 | × | 85891022 | ÷ | 51 | = | 85891022 51 | x |
| 85891022 | − | 4208660078 51 | = | 85891022 51 | x |
171782044 51 | = | 85891022 51 | x |
Transposition :
| - | 85891022 51 | x | = | - | 171782044 51 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
171782044 51 | = | 85891022 51 | 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 :
85891022 51 | x | = | 171782044 51 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 171782044 51 | ÷ | 85891022 51 |
| = | 171782044 51 | × | 51 85891022 |
| = | 6238 | × | 1 3119 |
We obtained :
| x | = | 6238 3119 |
Convert the result to decimal form :
| x | = | 2 |