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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 (57.65-x)1.1+0.73x = 61.91 .
Question type: Equation
Solution:Original question:
| ( | 1153 20 | − | x | ) | × | 11 10 | + | 73 100 | x | = | 6191 100 |
| Left side of the equation = | 1153 20 | × | 11 10 | − | x | × | 11 10 | + | 73 100 | x |
| = | 12683 200 | − | x | × | 11 10 | + | 73 100 | x |
| = | 12683 200 | − | 37 100 | x |
12683 200 | − | 37 100 | x | = | 6191 100 |
Transposition :
| - | 37 100 | x | = | 6191 100 | − | 12683 200 |
Combine the items on the right of the equation:
| - | 37 100 | x | = | - | 301 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
301 200 | = | 37 100 | 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 :
37 100 | x | = | 301 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 301 200 | ÷ | 37 100 |
| = | 301 200 | × | 100 37 |
| = | 301 2 | × | 1 37 |
We obtained :
| x | = | 301 74 |
Convert the result to decimal form :
| x | = | 4.067568 |