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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 460 = （x-87.64)/3+87.64 .
Question type: Equation
Solution:Original question:
| 460 | = | ( | x | − | 2191 25 | ) | ÷ | 3 | + | 2191 25 |
| Right side of the equation = | x | × | 1 3 | − | 2191 25 | × | 1 3 | + | 2191 25 |
| = | x | × | 1 3 | − | 2191 75 | + | 2191 25 |
| = | 1 3 | x | + | 4382 75 |
| 460 | = | 1 3 | x | + | 4382 75 |
Transposition :
| - | 1 3 | x | = | 4382 75 | − | 460 |
Combine the items on the right of the equation:
| - | 1 3 | x | = | - | 30118 75 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
30118 75 | = | 1 3 | 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 :
1 3 | x | = | 30118 75 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30118 75 | ÷ | 1 3 |
| = | 30118 75 | × | 3 |
| = | 30118 25 | × | 1 |
We obtained :
| x | = | 30118 25 |
Convert the result to decimal form :
| x | = | 1204.72 |