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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 55×7.91+12.8x = （55+x）×7.96 .
Question type: Equation
Solution:Original question:
| 55 | × | 791 100 | + | 64 5 | x | = | ( | 55 | + | x | ) | × | 199 25 |
| Left side of the equation = | 8701 20 | + | 64 5 | x |
8701 20 | + | 64 5 | x | = | ( | 55 | + | x | ) | × | 199 25 |
| Right side of the equation = | 55 | × | 199 25 | + | x | × | 199 25 |
| = | 2189 5 | + | x | × | 199 25 |
8701 20 | + | 64 5 | x | = | 2189 5 | + | 199 25 | x |
Transposition :
64 5 | x | − | 199 25 | x | = | 2189 5 | − | 8701 20 |
Combine the items on the left of the equation:
121 25 | x | = | 2189 5 | − | 8701 20 |
Combine the items on the right of the equation:
121 25 | x | = | 11 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11 4 | ÷ | 121 25 |
| = | 11 4 | × | 25 121 |
| = | 1 4 | × | 25 11 |
We obtained :
| x | = | 25 44 |
Convert the result to decimal form :
| x | = | 0.568182 |