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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 = 13766.58+159.8+833.33+(x/1.06*0.06+x/1.06*0.06*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 688329 50 | + | 799 5 | + | 83333 100 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 1475971 100 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| x | = | 1475971 100 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 1475971 100 | + | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 |
| = | 1475971 100 | + | x | × | 3 53 | + | x | × | 3 530 |
| = | 1475971 100 | + | 1749 28090 | x |
| x | = | 1475971 100 | + | 1749 28090 | x |
Transposition :
| x | − | 1749 28090 | x | = | 1475971 100 |
Combine the items on the left of the equation:
497 530 | x | = | 1475971 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1475971 100 | ÷ | 497 530 |
| = | 1475971 100 | × | 530 497 |
| = | 210853 10 | × | 53 71 |
We obtained :
| x | = | 11175209 710 |
Convert the result to decimal form :
| x | = | 15739.730986 |