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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-x)*8%+x*15.61% = 14% .
Question type: Equation
Solution:Original question:
| ( | 1 | − | x | ) | × | 8 100 | + | x | × | 1561 10000 | = | 14 100 |
| Left side of the equation = | 1 | × | 8 100 | − | x | × | 8 100 | + | 1561 10000 | x |
| = | 2 25 | − | x | × | 8 100 | + | 1561 10000 | x |
| = | 2 25 | + | 761 10000 | x |
2 25 | + | 761 10000 | x | = | 14 100 |
Transposition :
761 10000 | x | = | 14 100 | − | 2 25 |
Combine the items on the right of the equation:
761 10000 | x | = | 3 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3 50 | ÷ | 761 10000 |
| = | 3 50 | × | 10000 761 |
| = | 3 | × | 200 761 |
We obtained :
| x | = | 600 761 |
Convert the result to decimal form :
| x | = | 0.788436 |