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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 = (170+x)×0.618 .
Question type: Equation
Solution:Original question:
| 100 | + | x | = | ( | 170 | + | x | ) | × | 309 500 |
| Right side of the equation = | 170 | × | 309 500 | + | x | × | 309 500 |
| = | 5253 50 | + | x | × | 309 500 |
| 100 | + | x | = | 5253 50 | + | 309 500 | x |
Transposition :
| x | − | 309 500 | x | = | 5253 50 | − | 100 |
Combine the items on the left of the equation:
191 500 | x | = | 5253 50 | − | 100 |
Combine the items on the right of the equation:
191 500 | x | = | 253 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 253 50 | ÷ | 191 500 |
| = | 253 50 | × | 500 191 |
| = | 253 | × | 10 191 |
We obtained :
| x | = | 2530 191 |
Convert the result to decimal form :
| x | = | 13.246073 |