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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 1.623*276+0.863*X = 1.256*(276+X) .
Question type: Equation
Solution:Original question:
1623 1000 | × | 276 | + | 863 1000 | X | = | 157 125 | ( | 276 | + | X | ) |
| Left side of the equation = | 111987 250 | + | 863 1000 | X |
111987 250 | + | 863 1000 | X | = | 157 125 | ( | 276 | + | X | ) |
| Right side of the equation = | 157 125 | × | 276 | + | 157 125 | X |
| = | 43332 125 | + | 157 125 | X |
111987 250 | + | 863 1000 | X | = | 43332 125 | + | 157 125 | X |
Transposition :
863 1000 | X | − | 157 125 | X | = | 43332 125 | − | 111987 250 |
Combine the items on the left of the equation:
| - | 393 1000 | X | = | 43332 125 | − | 111987 250 |
Combine the items on the right of the equation:
| - | 393 1000 | X | = | - | 25323 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
25323 250 | = | 393 1000 | 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 :
393 1000 | X | = | 25323 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 25323 250 | ÷ | 393 1000 |
| = | 25323 250 | × | 1000 393 |
| = | 8441 | × | 4 131 |
We obtained :
| X | = | 33764 131 |
Convert the result to decimal form :
| X | = | 257.740458 |