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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 200 = X+(X*1.618)+(X*1.618)*1.618 .
Question type: Equation
Solution:Original question:
| 200 | = | X | + | ( | X | × | 809 500 | ) | + | ( | X | × | 809 500 | ) | × | 809 500 |
| Right side of the equation = | X | + | X | × | 809 500 | + | ( | X | × | 809 500 | ) | × | 809 500 |
| = | 1309 500 | X | + | ( | X | × | 809 500 | ) | × | 809 500 |
| = | 1309 500 | X | + | X | × | 809 500 | × | 809 500 |
| = | 1309 500 | X | + | X | × | 654481 250000 |
| = | 1308981 250000 | X |
| 200 | = | 1308981 250000 | X |
Transposition :
| - | 1308981 250000 | X | = | - | 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 200 | = | 1308981 250000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1308981 250000 | X | = | 200 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 200 | ÷ | 1308981 250000 |
| = | 200 | × | 250000 1308981 |
We obtained :
| X | = | 50000000 1308981 |
Convert the result to decimal form :
| X | = | 38.197651 |