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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 (1.05-x)*(1-x)*(0.97-x)*(0.95-x) = 0.003 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The solution of the equation:
x1≈0.755579 , keep 6 decimal places
x2≈1.229733 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1.05-x)*(1-x)*(0.97-x)*(0.95-x) = 0.003 .
Question type: Equation
Solution:Original question:
| ( | 21 20 | − | x | ) | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | = | 3 1000 |
| Left side of the equation = | 21 20 | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 21 20 | × | 1 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 21 20 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 21 20 | × | 97 100 | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) |
| = | 2037 2000 | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) |
| = | 2037 2000 | × | 19 20 | − | 2037 2000 | x | − | 21 20 | x | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x |
| = | 38703 40000 | − | 2037 2000 | x | − | 21 20 | x | ( | 19 20 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) |
| = | 38703 40000 | − | 2037 2000 | x | − | 21 20 | x | × | 19 20 | + | 21 20 | x | x | − | 21 20 | x | ( | 97 100 | − | x | ) |
| = | 38703 40000 | − | 2037 2000 | x | − | 399 400 | x | + | 21 20 | x | x | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 38703 40000 | − | 252 125 | x | + | 21 20 | x | x | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | − | x | ( | 1 | − | x | ) |
| = | 38703 40000 | − | 252 125 | x | + | 21 20 | x | x | − | 21 20 | x | × | 97 100 | ( | 19 20 | − | x | ) | + | 21 20 | x |
| = | 38703 40000 | − | 252 125 | x | + | 21 20 | x | x | − | 2037 2000 | x | ( | 19 20 | − | x | ) | + | 21 20 | x | x |
| = | 38703 40000 | − | 252 125 | x | + | 21 20 | x | x | − | 2037 2000 | x | × | 19 20 | + | 2037 2000 | x | x |
| = | 38703 40000 | − | 252 125 | x | + | 21 20 | x | x | − | 38703 40000 | x | + | 2037 2000 | x | x | + | 21 20 |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 21 20 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 21 20 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 119343 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 156203 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 156203 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
| = | 38703 40000 | − | 156203 40000 | x | + | 21 20 | x | x | + | 2037 2000 | x | x | + | 399 400 | x | x |
The solution of the equation:
x1≈0.755579 , keep 6 decimal places
x2≈1.229733 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》