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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 22*0.41*（1-x）*(0.26-x)+1*0.1731*(22-x)*(0.26-x)+0.26*0.4169*(22-x)*(1-x) = 0 .
Question type: Equation
Solution:Original question:
| 22 | × | 41 100 | ( | 1 | − | x | ) | ( | 13 50 | − | x | ) | + | 1 | × | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 13 50 | × | 4169 10000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) | = | 0 |
| Left side of the equation = | 451 50 | ( | 1 | − | x | ) | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
451 50 | ( | 1 | − | x | ) | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) | = | 0 |
| Left side of the equation = | 451 50 | × | 1 | ( | 13 50 | − | x | ) | − | 451 50 | x | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
| = | 451 50 | ( | 13 50 | − | x | ) | − | 451 50 | x | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
| = | 451 50 | × | 13 50 | − | 451 50 | x | − | 451 50 | x | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) |
| = | 5863 2500 | − | 451 50 | x | − | 451 50 | x | ( | 13 50 | − | x | ) | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
| = | 5863 2500 | − | 451 50 | x | − | 451 50 | x | × | 13 50 | + | 451 50 | x | x | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) |
| = | 5863 2500 | − | 451 50 | x | − | 5863 2500 | x | + | 451 50 | x | x | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 |
| = | 5863 2500 | − | 28413 2500 | x | + | 451 50 | x | x | + | 1731 10000 | ( | 22 | − | x | ) | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
| = | 5863 2500 | − | 28413 2500 | x | + | 451 50 | x | x | + | 1731 10000 | × | 22 | ( | 13 50 | − | x | ) | − | 1731 10000 | x | ( | 13 50 | − | x | ) |
| = | 5863 2500 | − | 28413 2500 | x | + | 451 50 | x | x | + | 19041 5000 | ( | 13 50 | − | x | ) | − | 1731 10000 | x | ( | 13 50 | − | x | ) | + | 54197 500000 |
| = | 5863 2500 | − | 28413 2500 | x | + | 451 50 | x | x | + | 19041 5000 | × | 13 50 | − | 19041 5000 | x | − | 1731 10000 | x |
| = | 5863 2500 | − | 28413 2500 | x | + | 451 50 | x | x | + | 247533 250000 | − | 19041 5000 | x | − | 1731 10000 | x | ( | 13 50 | − | x | ) |
| = | 833833 250000 | − | 75867 5000 | x | + | 451 50 | x | x | − | 1731 10000 | x | ( | 13 50 | − | x | ) | + | 54197 500000 | ( | 22 | − | x | ) | ( | 1 | − | x | ) |
| = | 833833 250000 | − | 75867 5000 | x | + | 451 50 | x | x | − | 1731 10000 | x | × | 13 50 | + | 1731 10000 | x | x |
| = | 833833 250000 | − | 75867 5000 | x | + | 451 50 | x | x | − | 22503 500000 | x | + | 1731 10000 | x | x | + | 54197 500000 |
The solution of the equation:
x1≈0.412174 , keep 6 decimal places
x2≈1.491979 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》