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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 114*7.91+15*7.97+13x = (129+x)*7.96 .
Question type: Equation
Solution:Original question:
| 114 | × | 791 100 | + | 15 | × | 797 100 | + | 13 | x | = | ( | 129 | + | x | ) | × | 199 25 |
| Left side of the equation = | 45087 50 | + | 2391 20 | + | 13 | x |
| = | 102129 100 | + | 13 | x |
102129 100 | + | 13 | x | = | ( | 129 | + | x | ) | × | 199 25 |
| Right side of the equation = | 129 | × | 199 25 | + | x | × | 199 25 |
| = | 25671 25 | + | x | × | 199 25 |
102129 100 | + | 13 | x | = | 25671 25 | + | 199 25 | x |
Transposition :
| 13 | x | − | 199 25 | x | = | 25671 25 | − | 102129 100 |
Combine the items on the left of the equation:
126 25 | x | = | 25671 25 | − | 102129 100 |
Combine the items on the right of the equation:
126 25 | x | = | 111 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 111 20 | ÷ | 126 25 |
| = | 111 20 | × | 25 126 |
| = | 37 4 | × | 5 42 |
We obtained :
| x | = | 185 168 |
Convert the result to decimal form :
| x | = | 1.10119 |