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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 7x-467.56-(7x*13%-112-14)*10%(7x-467.56)*25% = 0 .
Question type: Equation
Solution:Original question:
| 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 112 | − | 14 | ) | × | 10 100 | ( | 7 | x | − | 11689 25 | ) | × | 25 100 | = | 0 |
| Left side of the equation = | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 112 | − | 14 | ) | × | 1 40 | ( | 7 | x | − | 11689 25 | ) |
| 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 112 | − | 14 | ) | × | 1 40 | ( | 7 | x | − | 11689 25 | ) | = | 0 |
| Left side of the equation = | 7 | x | − | 11689 25 | − | 7 | x | × | 13 100 | × | 1 40 | ( | 7 | x | − | 11689 25 | ) | + | 112 | × | 1 40 | ( | 7 | x | − | 11689 25 | ) | + | 14 |
| = | 7 | x | − | 11689 25 | − | 91 4000 | x | ( | 7 | x | − | 11689 25 | ) | + | 14 5 | ( | 7 | x | − | 11689 25 | ) | + | 7 20 | ( | 7 | x | − | 11689 25 | ) |
| = | 7 | x | − | 11689 25 | − | 91 4000 | x | × | 7 | x | + | 91 4000 | x | × | 11689 25 | + | 14 5 | ( | 7 | x | − | 11689 25 | ) |
| = | 7 | x | − | 11689 25 | − | 637 4000 | x | x | + | 1063699 100000 | x | + | 14 5 | ( | 7 | x | − | 11689 25 | ) | + | 7 20 | ( | 7 | x | − | 11689 25 | ) |
| = | 1763699 100000 | x | − | 11689 25 | − | 637 4000 | x | x | + | 14 5 | ( | 7 | x | − | 11689 25 | ) | + | 7 20 | ( | 7 | x | − | 11689 25 | ) |
| = | 1763699 100000 | x | − | 11689 25 | − | 637 4000 | x | x | + | 14 5 | × | 7 | x | − | 14 5 | × | 11689 25 | + | 7 20 |
| = | 1763699 100000 | x | − | 11689 25 | − | 637 4000 | x | x | + | 98 5 | x | − | 163646 125 | + | 7 20 | ( | 7 | x | − | 11689 25 | ) |
| = | 3723699 100000 | x | − | 222091 125 | − | 637 4000 | x | x | + | 7 20 | ( | 7 | x | − | 11689 25 | ) |
| = | 3723699 100000 | x | − | 222091 125 | − | 637 4000 | x | x | + | 7 20 | × | 7 | x | − | 7 20 | × | 11689 25 |
| = | 3723699 100000 | x | − | 222091 125 | − | 637 4000 | x | x | + | 49 20 | x | − | 81823 500 |
| = | 3968699 100000 | x | − | 970187 500 | − | 637 4000 | x | x |
3968699 100000 | x | − | 970187 500 | − | 637 4000 | x | x | = | 0 |
The solution of the equation:
x1≈66.794286 , keep 6 decimal places
x2≈182.417582 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》