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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 3.22+1.61x+43.4+10x = 29.96x+10x .
Question type: Equation
Solution:Original question:
161 50 | + | 161 100 | x | + | 217 5 | + | 10 | x | = | 749 25 | x | + | 10 | x |
| Left side of the equation = | 2331 50 | + | 1161 100 | x |
2331 50 | + | 1161 100 | x | = | 749 25 | x | + | 10 | x |
| Right side of the equation = | 999 25 | x |
2331 50 | + | 1161 100 | x | = | 999 25 | x |
Transposition :
1161 100 | x | − | 999 25 | x | = | - | 2331 50 |
Combine the items on the left of the equation:
| - | 567 20 | x | = | - | 2331 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2331 50 | = | 567 20 | 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 :
567 20 | x | = | 2331 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2331 50 | ÷ | 567 20 |
| = | 2331 50 | × | 20 567 |
| = | 37 5 | × | 2 9 |
We obtained :
| x | = | 74 45 |
Convert the result to decimal form :
| x | = | 1.644444 |