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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-0.5）（0.00111x+16.11145-16.345） = （16.345-15.9552-0.0032x）（11.5-x） .
Question type: Equation
Solution:Original question:
| ( | x | − | 1 2 | ) | ( | 111 100000 | x | + | 322229 20000 | − | 3269 200 | ) | = | ( | 3269 200 | − | 9972 625 | − | 2 625 | x | ) | ( | 23 2 | − | x | ) |
| Left side of the equation = | x | ( | 111 100000 | x | + | 322229 20000 | − | 3269 200 | ) | − | 1 2 | ( | 111 100000 | x | + | 322229 20000 | − | 3269 200 | ) |
| = | x | × | 111 100000 | x | + | x | × | 322229 20000 | − | x | × | 3269 200 | − | 1 2 | ( | 111 100000 | x | + | 322229 20000 | − | 3269 200 | ) |
| = | x | × | 111 100000 | x | − | 4671 20000 | x | − | 1 2 | ( | 111 100000 | x | + | 322229 20000 | − | 3269 200 | ) |
| = | x | × | 111 100000 | x | − | 4671 20000 | x | − | 1 2 | × | 111 100000 | x | − | 1 2 | × | 322229 20000 | + | 1 2 | × | 3269 200 |
| = | x | × | 111 100000 | x | − | 4671 20000 | x | − | 111 200000 | x | − | 322229 40000 | + | 3269 400 |
| = | x | × | 111 100000 | x | − | 46821 200000 | x | + | 4671 40000 |
| x | × | 111 100000 | x | − | 46821 200000 | x | + | 4671 40000 | = | ( | 3269 200 | − | 9972 625 | − | 2 625 | x | ) | ( | 23 2 | − | x | ) |
| Right side of the equation = | 3269 200 | ( | 23 2 | − | x | ) | − | 9972 625 | ( | 23 2 | − | x | ) | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 3269 200 | × | 23 2 | − | 3269 200 | x | − | 9972 625 | ( | 23 2 | − | x | ) | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 75187 400 | − | 3269 200 | x | − | 9972 625 | ( | 23 2 | − | x | ) | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 75187 400 | − | 3269 200 | x | − | 9972 625 | × | 23 2 | + | 9972 625 | x | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 75187 400 | − | 3269 200 | x | − | 114678 625 | + | 9972 625 | x | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 44827 10000 | − | 1949 5000 | x | − | 2 625 | x | ( | 23 2 | − | x | ) |
| = | 44827 10000 | − | 1949 5000 | x | − | 2 625 | x | × | 23 2 | + | 2 625 | x | x |
| = | 44827 10000 | − | 1949 5000 | x | − | 23 625 | x | + | 2 625 | x | x |
| = | 44827 10000 | − | 2133 5000 | x | + | 2 625 | x | x |
| x | × | 111 100000 | x | − | 46821 200000 | x | + | 4671 40000 | = | 44827 10000 | − | 2133 5000 | x | + | 2 625 | x | x |
The solution of the equation:
x1≈40.414471 , keep 6 decimal places
x2≈51.688400 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》