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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 (480-x)*0.5 = (471-x)*0.618 .
Question type: Equation
Solution:Original question:
| ( | 480 | − | x | ) | × | 1 2 | = | ( | 471 | − | x | ) | × | 309 500 |
| Left side of the equation = | 480 | × | 1 2 | − | x | × | 1 2 |
| = | 240 | − | x | × | 1 2 |
| 240 | − | 1 2 | x | = | ( | 471 | − | x | ) | × | 309 500 |
| Right side of the equation = | 471 | × | 309 500 | − | x | × | 309 500 |
| = | 145539 500 | − | x | × | 309 500 |
| 240 | − | 1 2 | x | = | 145539 500 | − | 309 500 | x |
Transposition :
| - | 1 2 | x | + | 309 500 | x | = | 145539 500 | − | 240 |
Combine the items on the left of the equation:
59 500 | x | = | 145539 500 | − | 240 |
Combine the items on the right of the equation:
59 500 | x | = | 25539 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25539 500 | ÷ | 59 500 |
| = | 25539 500 | × | 500 59 |
| = | 25539 | × | 1 59 |
We obtained :
| x | = | 25539 59 |
Convert the result to decimal form :
| x | = | 432.864407 |