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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 -0.7001*(x-0.2)*(x-0.3)*(x-0.4)+3*0.4016*(x-0.1)*(x-0.3)*(x-0.4)-3*0.1081*(x-0.1)*(x-0.2)*(x-0.4)+0.1744*(x-0.1)*(x-0.2)*(x-0.3) = 0 .
Question type: Equation
Solution:Original question:
| - | 7001 10000 | ( | x | − | 1 5 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 3 | × | 251 625 | ( | x | − | 1 10 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | − | 3 | × | 1081 10000 | ( | x | − | 1 10 | ) | = | 0 |
| Left side of the equation = | - | 7001 10000 | ( | x | − | 1 5 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 | ( | x | − | 1 10 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | − | 3243 10000 | ( | x | − | 1 10 | ) | ( | x | − | 1 5 | ) | ( | x | − | 2 5 | ) |
| - | 7001 10000 | ( | x | − | 1 5 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 | ( | x | − | 1 10 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | − | 3243 10000 | ( | x | − | 1 10 | ) | ( | x | − | 1 5 | ) | ( | x | − | 2 5 | ) | = | 0 |
| Left side of the equation = | - | 7001 10000 | x | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 7001 10000 | × | 1 5 | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 | ( | x | − | 1 10 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) |
| = | - | 7001 10000 | x | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 7001 50000 | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 | ( | x | − | 1 10 | ) | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | − | 3243 10000 |
| = | - | 7001 10000 | x | x | ( | x | − | 2 5 | ) | + | 7001 10000 | x | × | 3 10 | ( | x | − | 2 5 | ) | + | 7001 50000 | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 |
| = | - | 7001 10000 | x | x | ( | x | − | 2 5 | ) | + | 21003 100000 | x | ( | x | − | 2 5 | ) | + | 7001 50000 | ( | x | − | 3 10 | ) | ( | x | − | 2 5 | ) | + | 753 625 | ( | x | − | 1 10 | ) |
| = | - | 7001 10000 | x | x | x | + | 7001 10000 | x | x | × | 2 5 | + | 21003 100000 | x | ( | x | − | 2 5 | ) | + | 7001 50000 |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | ( | x | − | 2 5 | ) | + | 7001 50000 | ( | x | − | 3 10 | ) |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 100000 | x |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 250000 | x |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 250000 | x |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 250000 | x |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 250000 | x |
| = | - | 7001 10000 | x | x | x | + | 7001 25000 | x | x | + | 21003 100000 | x | x | − | 21003 250000 | x |
The solution of the equation:
x1≈-0.090915 , keep 6 decimal places
x2≈0.340086 , keep 6 decimal places
x3≈0.340086 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》