Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 (X+8.01+8.06+8.02)/4 = X .
Question type: Equation
Solution:Original question:
| ( | X | + | 801 100 | + | 403 50 | + | 401 50 | ) | ÷ | 4 | = | X |
| Left side of the equation = | X | × | 1 4 | + | 801 100 | × | 1 4 | + | 403 50 | × | 1 4 | + | 401 50 | × | 1 4 |
| = | X | × | 1 4 | + | 801 400 | + | 403 200 | + | 401 200 |
| = | 1 4 | X | + | 2409 400 |
1 4 | X | + | 2409 400 | = | X |
Transposition :
1 4 | X | − | X | = | - | 2409 400 |
Combine the items on the left of the equation:
| - | 3 4 | X | = | - | 2409 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2409 400 | = | 3 4 | 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 :
3 4 | X | = | 2409 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2409 400 | ÷ | 3 4 |
| = | 2409 400 | × | 4 3 |
| = | 803 100 | × | 1 |
We obtained :
| X | = | 803 100 |
Convert the result to decimal form :
| X | = | 8.03 |