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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 = 20698.16+246.11+0.15x+(x/1.06*0.06+x/1.06*0.06*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 517454 25 | + | 24611 100 | + | 3 20 | x | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 2094427 100 | + | 3 20 | x | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| x | = | 2094427 100 | + | 3 20 | x | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 2094427 100 | + | 3 20 | x | + | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 |
| = | 2094427 100 | + | 3 20 | x | + | x | × | 3 53 | + | x | × | 3 530 |
| = | 2094427 100 | + | 2385 11236 | x |
| x | = | 2094427 100 | + | 2385 11236 | x |
Transposition :
| x | − | 2385 11236 | x | = | 2094427 100 |
Combine the items on the left of the equation:
167 212 | x | = | 2094427 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2094427 100 | ÷ | 167 212 |
| = | 2094427 100 | × | 212 167 |
| = | 2094427 25 | × | 53 167 |
We obtained :
| x | = | 111004631 4175 |
Convert the result to decimal form :
| x | = | 26587.935569 |