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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 11.63*0.6(x-20) = (2*0.09022(438-x))/0.4054 .
Question type: Equation
Solution:Original question:
1163 100 | × | 3 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 4511 50000 | ( | 438 | − | x | ) | ) | ÷ | 2027 5000 |
| Left side of the equation = | 3489 500 | ( | x | − | 20 | ) |
3489 500 | ( | x | − | 20 | ) | = | ( | 2 | × | 4511 50000 | ( | 438 | − | x | ) | ) | ÷ | 2027 5000 |
| Left side of the equation = | 3489 500 | x | − | 3489 500 | × | 20 |
| = | 3489 500 | x | − | 3489 25 |
3489 500 | x | − | 3489 25 | = | ( | 2 | × | 4511 50000 | ( | 438 | − | x | ) | ) | ÷ | 2027 5000 |
| Right side of the equation = | 2 | × | 4511 50000 | ( | 438 | − | x | ) | × | 5000 2027 |
| = | 4511 10135 | ( | 438 | − | x | ) |
| = | 4511 10135 | × | 438 | − | 4511 10135 | x |
| = | 1975818 10135 | − | 4511 10135 | x |
3489 500 | x | − | 3489 25 | = | 1975818 10135 | − | 4511 10135 | x |
Transposition :
3489 500 | x | + | 4511 10135 | x | = | 1975818 10135 | + | 3489 25 |
Combine the items on the left of the equation:
7523303 1013500 | x | = | 1975818 10135 | + | 3489 25 |
Combine the items on the right of the equation:
7523303 1013500 | x | = | 16951293 50675 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16951293 50675 | ÷ | 7523303 1013500 |
| = | 16951293 50675 | × | 1013500 7523303 |
| = | 16951293 2027 | × | 40540 7523303 |
We obtained :
| x | = | 687205418220 15249735181 |