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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 1.043 = (2.6-x)*(2.6-x)÷[(2.1-3*x)*(2.1-3*x)*(2.1-3*x)*(1-x)] .
Question type: Equation
Solution:Original question:
1043 1000 | = | ( | 13 5 | − | x | ) | ( | 13 5 | − | x | ) | ÷ | ( | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | ) |
1043 1000 | ( | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | ) | = | ( | 13 5 | − | x | ) | ( | 13 5 | − | x | ) |
1043 1000 | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | ( | 13 5 | − | x | ) | ( | 13 5 | − | x | ) |
1043 1000 | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 13 5 | ( | 13 5 | − | x | ) | − | x | ( | 13 5 | − | x | ) |
1043 1000 | × | 21 10 | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 1043 1000 | × | 3 | x | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 13 5 | ( | 13 5 | − | x | ) | − | x | ( | 13 5 | − | x | ) |
1043 1000 | × | 21 10 | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 1043 1000 | × | 3 | x | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 13 5 | × | 13 5 | − | 13 5 | x | − | x | ( | 13 5 | − | x | ) |
21903 10000 | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 169 25 | − | 13 5 | x | − | x | ( | 13 5 | − | x | ) |
21903 10000 | × | 21 10 | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 21903 10000 | × | 3 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | = | 169 25 | − | 13 5 | x | − | x | ( | 13 5 | − | x | ) |
21903 10000 | × | 21 10 | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 21903 10000 | × | 3 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | = | 169 25 | − | 13 5 | x | − | x | × | 13 5 | + | x | x |
459963 100000 | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 169 25 | − | 13 5 | x | − | x | × | 13 5 | + | x | x |
459963 100000 | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 169 25 | − | 26 5 | x | + | x | x |
459963 100000 | × | 21 10 | ( | 1 | − | x | ) | − | 459963 100000 | × | 3 | x | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | = | 169 25 | − | 26 5 | x | + | x | x |
9659223 1000000 | ( | 1 | − | x | ) | − | 1379889 100000 | x | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | ( | 21 10 | − | 3 | x | ) | = | 169 25 | − | 26 5 | x | + | x | x |
9659223 1000000 | × | 1 | − | 9659223 1000000 | x | − | 1379889 100000 | x | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | = | 169 25 | − | 26 5 | x | + | x | x |
9659223 1000000 | − | 9659223 1000000 | x | − | 1379889 100000 | x | ( | 1 | − | x | ) | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | − | 3129 1000 | x | = | 169 25 | − | 26 5 | x | + | x | x |
9659223 1000000 | − | 9659223 1000000 | x | − | 1379889 100000 | x | × | 1 | + | 1379889 100000 | x | x | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | = | 169 25 | − | 26 5 | x | + | x | x |
9659223 1000000 | − | 9659223 1000000 | x | − | 1379889 100000 | x | + | 1379889 100000 | x | x | − | 65709 10000 | x | ( | 21 10 | − | 3 | x | ) | ( | 1 | − | x | ) | = | 169 25 | − | 26 5 | x | + | x | x |
The solution of the equation:
x1≈0.074505 , keep 6 decimal places
x2≈1.292280 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》