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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 = 1500+10215+(x/1.06*0.06+x/1.06*0.06*0.1) .
Question type: Equation
Solution:Original question:
| x | = | 1500 | + | 10215 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 11715 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| x | = | 11715 | + | ( | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 | ) |
| Right side of the equation = | 11715 | + | x | ÷ | 53 50 | × | 3 50 | + | x | ÷ | 53 50 | × | 3 50 | × | 1 10 |
| = | 11715 | + | x | × | 3 53 | + | x | × | 3 530 |
| = | 11715 | + | 1749 28090 | x |
| x | = | 11715 | + | 1749 28090 | x |
Transposition :
| x | − | 1749 28090 | x | = | 11715 |
Combine the items on the left of the equation:
497 530 | x | = | 11715 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11715 | ÷ | 497 530 |
| = | 11715 | × | 530 497 |
We obtained :
| x | = | 6208950 497 |
By reducing fraction, we can get:
| x | = | 87450 7 |
Convert the result to decimal form :
| x | = | 12492.857143 |