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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 255.7×7.93+12.08x = （255.7+x）×7.97 .
Question type: Equation
Solution:Original question:
2557 10 | × | 793 100 | + | 302 25 | x | = | ( | 2557 10 | + | x | ) | × | 797 100 |
| Left side of the equation = | 2027701 1000 | + | 302 25 | x |
2027701 1000 | + | 302 25 | x | = | ( | 2557 10 | + | x | ) | × | 797 100 |
| Right side of the equation = | 2557 10 | × | 797 100 | + | x | × | 797 100 |
| = | 2037929 1000 | + | x | × | 797 100 |
2027701 1000 | + | 302 25 | x | = | 2037929 1000 | + | 797 100 | x |
Transposition :
302 25 | x | − | 797 100 | x | = | 2037929 1000 | − | 2027701 1000 |
Combine the items on the left of the equation:
411 100 | x | = | 2037929 1000 | − | 2027701 1000 |
Combine the items on the right of the equation:
411 100 | x | = | 2557 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2557 250 | ÷ | 411 100 |
| = | 2557 250 | × | 100 411 |
| = | 2557 5 | × | 2 411 |
We obtained :
| x | = | 5114 2055 |
Convert the result to decimal form :
| x | = | 2.488564 |