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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+((1-(x-411)/5287.5)*0.5-0.061) = (6062.25-x)/6062.25 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1+((1-(x-411)/5287.5)*0.5-0.061) = (6062.25-x)/6062.25 .
Question type: Equation
Solution:Original question:
| 1 | + | ( | ( | 1 | − | ( | x | − | 411 | ) | ÷ | 10575 2 | ) | × | 1 2 | − | 61 1000 | ) | = | ( | 24249 4 | − | x | ) | ÷ | 24249 4 |
| Left side of the equation = | 1 | + | ( | 1 | − | ( | x | − | 411 | ) | ÷ | 10575 2 | ) | × | 1 2 | − | 61 1000 |
| = | 939 1000 | + | ( | 1 | − | ( | x | − | 411 | ) | ÷ | 10575 2 | ) | × | 1 2 |
| = | 939 1000 | + | 1 | × | 1 2 | − | ( | x | − | 411 | ) | ÷ | 10575 2 | × | 1 2 |
| = | 939 1000 | + | 1 2 | − | ( | x | − | 411 | ) | × | 1 10575 |
| = | 1439 1000 | − | ( | x | − | 411 | ) | × | 1 10575 |
| = | 1439 1000 | − | x | × | 1 10575 | + | 411 | × | 1 10575 |
| = | 1439 1000 | − | x | × | 1 10575 | + | 137 3525 |
| = | 208379 141000 | − | 1 10575 | x |
208379 141000 | − | 1 10575 | x | = | ( | 24249 4 | − | x | ) | ÷ | 24249 4 |
| Right side of the equation = | 24249 4 | × | 4 24249 | − | x | × | 4 24249 |
| = | 1 | − | x | × | 4 24249 |
208379 141000 | − | 1 10575 | x | = | 1 | − | 4 24249 | x |
Transposition :
| - | 1 10575 | x | + | 4 24249 | x | = | 1 | − | 208379 141000 |
Combine the items on the left of the equation:
6017 85477725 | x | = | 1 | − | 208379 141000 |
Combine the items on the right of the equation:
6017 85477725 | x | = | - | 67379 141000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 67379 141000 | ÷ | 6017 85477725 |
| = | - | 67379 141000 | × | 85477725 6017 |
| = | - | 67379 1880 | × | 1139703 6017 |
We obtained :
| x | = | - | 76792048437 11311960 |