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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 39.5/(1.03+x)+31.65/[(1.03+x)(1.0714+x)] = 100 .
Question type: Equation
Solution:Original question:
79 2 | ÷ | ( | 103 100 | + | x | ) | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 100 |
| Multiply both sides of the equation by: | ( | 103 100 | + | x | ) |
79 2 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | ( | 103 100 | + | x | ) | = | 100 | ( | 103 100 | + | x | ) |
79 2 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | 103 100 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | = | 100 | ( | 103 100 | + | x | ) |
79 2 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | 103 100 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | = | 100 | × | 103 100 | + | 100 | x |
79 2 | + | 65199 2000 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | = | 103 | + | 100 | x |
| Multiply both sides of the equation by: | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 103 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 65199 2000 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 103 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 65199 2000 | + | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | × | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 103 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 103 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | × | 103 100 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | x | = | 103 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
79 2 | × | 103 100 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | x | = | 103 | × | 103 100 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
8137 200 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 10609 100 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
8137 200 | × | 5357 5000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 10609 100 | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
8137 200 | × | 5357 5000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 10609 100 | × | 5357 5000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x |
43589909 1000000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 633 20 | = | 56832413 500000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
43589909 1000000 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 56832413 500000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
43589909 1000000 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 65199 2000 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 56832413 500000 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x |
43589909 1000000 | × | 103 100 | ( | 5357 5000 | + | x | ) | + | 43589909 1000000 | x | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | = | 56832413 500000 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x |
43589909 1000000 | × | 103 100 | ( | 5357 5000 | + | x | ) | + | 43589909 1000000 | x | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | = | 56832413 500000 | × | 103 100 | ( | 5357 5000 | + | x | ) | + | 56832413 500000 | x | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) |
4489760627 100000000 | ( | 5357 5000 | + | x | ) | + | 43589909 1000000 | x | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 5853738539 50000000 | ( | 5357 5000 | + | x | ) | + | 56832413 500000 | x | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
4489760627 100000000 | × | 5357 5000 | + | 4489760627 100000000 | x | + | 43589909 1000000 | x | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | = | 5853738539 50000000 | ( | 5357 5000 | + | x | ) | + | 56832413 500000 | x | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
4489760627 100000000 | × | 5357 5000 | + | 4489760627 100000000 | x | + | 43589909 1000000 | x | ( | 5357 5000 | + | x | ) | + | 8137 200 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 79 2 | x | = | 5853738539 50000000 | × | 5357 5000 | + | 5853738539 50000000 | x | + | 56832413 500000 | x | ( | 5357 5000 | + | x | ) | + | 10609 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 103 | x |
The solution of the equation:
x1≈-1.456616 , keep 6 decimal places
x2≈-0.249784 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》