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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 140*3.5964+4*3+4*2+3.4*2+4 = (140+3+2+2+1)*x .
Question type: Equation
Solution:Original question:
| 140 | × | 8991 2500 | + | 4 | × | 3 | + | 4 | × | 2 | + | 17 5 | × | 2 | + | 4 | = | ( | 140 | + | 3 | + | 2 | + | 2 | + | 1 | ) | x |
| Left side of the equation = | 62937 125 | + | 12 | + | 8 | + | 34 5 | + | 4 |
| = | 66787 125 |
66787 125 | = | ( | 140 | + | 3 | + | 2 | + | 2 | + | 1 | ) | x |
| Right side of the equation = | 140 | x | + | 3 | x | + | 2 | x | + | 2 | x | + | 1 | x |
| = | 148 | x |
66787 125 | = | 148 | x |
Transposition :
| - | 148 | x | = | - | 66787 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
66787 125 | = | 148 | 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 :
| 148 | x | = | 66787 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 66787 125 | ÷ | 148 |
| = | 66787 125 | × | 1 148 |
We obtained :
| x | = | 66787 18500 |
Convert the result to decimal form :
| x | = | 3.610108 |