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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 3.84x+0.8976(100+x) = 100 .
Question type: Equation
Solution:Original question:
96 25 | x | + | 561 625 | ( | 100 | + | x | ) | = | 100 |
| Left side of the equation = | 96 25 | x | + | 561 625 | × | 100 | + | 561 625 | x |
| = | 96 25 | x | + | 2244 25 | + | 561 625 | x |
| = | 2961 625 | x | + | 2244 25 |
2961 625 | x | + | 2244 25 | = | 100 |
Transposition :
2961 625 | x | = | 100 | − | 2244 25 |
Combine the items on the right of the equation:
2961 625 | x | = | 256 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 256 25 | ÷ | 2961 625 |
| = | 256 25 | × | 625 2961 |
| = | 256 | × | 25 2961 |
We obtained :
| x | = | 6400 2961 |
Convert the result to decimal form :
| x | = | 2.161432 |