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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 [x/18+(1-x)/65] = 0.03444144 .
Question type: Equation
Solution:Original question:
| ( | x | ÷ | 18 | + | ( | 1 | − | x | ) | ÷ | 65 | ) | = | 215259 6250000 |
| Left side of the equation = | x | ÷ | 18 | + | ( | 1 | − | x | ) | ÷ | 65 |
| = | 1 18 | x | + | 1 | × | 1 65 | − | x | × | 1 65 |
| = | 1 18 | x | + | 1 65 | − | x | × | 1 65 |
| = | 47 1170 | x | + | 1 65 |
47 1170 | x | + | 1 65 | = | 215259 6250000 |
Transposition :
47 1170 | x | = | 215259 6250000 | − | 1 65 |
Combine the items on the right of the equation:
47 1170 | x | = | 1548367 81250000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1548367 81250000 | ÷ | 47 1170 |
| = | 1548367 81250000 | × | 1170 47 |
| = | 1548367 8125000 | × | 117 47 |
We obtained :
| x | = | 181158939 381875000 |
By reducing fraction, we can get:
| x | = | 13935303 29375000 |
Convert the result to decimal form :
| x | = | 0.474393 |