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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 (100+x)÷(165+x) = 0.618 .
Question type: Equation
Solution:Original question:
| ( | 100 | + | x | ) | ÷ | ( | 165 | + | x | ) | = | 309 500 |
| Multiply both sides of the equation by: | ( | 165 | + | x | ) |
| ( | 100 | + | x | ) | = | 309 500 | ( | 165 | + | x | ) |
| 100 | + | x | = | 309 500 | ( | 165 | + | x | ) |
| 100 | + | x | = | 309 500 | × | 165 | + | 309 500 | x |
| 100 | + | x | = | 10197 100 | + | 309 500 | x |
Transposition :
| x | − | 309 500 | x | = | 10197 100 | − | 100 |
Combine the items on the left of the equation:
191 500 | x | = | 10197 100 | − | 100 |
Combine the items on the right of the equation:
191 500 | x | = | 197 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 197 100 | ÷ | 191 500 |
| = | 197 100 | × | 500 191 |
| = | 197 | × | 5 191 |
We obtained :
| x | = | 985 191 |
Convert the result to decimal form :
| x | = | 5.157068 |