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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 0.4*1.86x = 2.86（x-1） .
Question type: Equation
Solution:Original question:
2 5 | × | 93 50 | x | = | 143 50 | ( | x | − | 1 | ) |
| Left side of the equation = | 93 125 | x |
93 125 | x | = | 143 50 | ( | x | − | 1 | ) |
| Right side of the equation = | 143 50 | x | − | 143 50 | × | 1 |
| = | 143 50 | x | − | 143 50 |
93 125 | x | = | 143 50 | x | − | 143 50 |
Transposition :
93 125 | x | − | 143 50 | x | = | - | 143 50 |
Combine the items on the left of the equation:
| - | 529 250 | x | = | - | 143 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
143 50 | = | 529 250 | 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 :
529 250 | x | = | 143 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 143 50 | ÷ | 529 250 |
| = | 143 50 | × | 250 529 |
| = | 143 | × | 5 529 |
We obtained :
| x | = | 715 529 |
Convert the result to decimal form :
| x | = | 1.351607 |