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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 1.036*(1.036*(40-12x)-12x)-12x = 0 .
Question type: Equation
Solution:Original question:
259 250 | ( | 259 250 | ( | 40 | − | 12 | x | ) | − | 12 | x | ) | − | 12 | x | = | 0 |
| Left side of the equation = | 259 250 | × | 259 250 | ( | 40 | − | 12 | x | ) | − | 259 250 | × | 12 | x | − | 12 | x |
| = | 67081 62500 | ( | 40 | − | 12 | x | ) | − | 1554 125 | x | − | 12 | x |
| = | 67081 62500 | ( | 40 | − | 12 | x | ) | − | 3054 125 | x |
| = | 67081 62500 | × | 40 | − | 67081 62500 | × | 12 | x | − | 3054 125 | x |
| = | 134162 3125 | − | 201243 15625 | x | − | 3054 125 | x |
| = | 134162 3125 | − | 582993 15625 | x |
134162 3125 | − | 582993 15625 | x | = | 0 |
Transposition :
| - | 582993 15625 | x | = | 0 | − | 134162 3125 |
Combine the items on the right of the equation:
| - | 582993 15625 | x | = | - | 134162 3125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
134162 3125 | = | 582993 15625 | 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 :
582993 15625 | x | = | 134162 3125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 134162 3125 | ÷ | 582993 15625 |
| = | 134162 3125 | × | 15625 582993 |
| = | 134162 | × | 5 582993 |
We obtained :
| x | = | 670810 582993 |
Convert the result to decimal form :
| x | = | 1.150631 |