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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 | ) | ) | = | 100 | ( | 103 100 | + | x | ) |
79 2 | × | 633 20 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 100 | × | 103 100 | + | 100 | x |
50007 40 | ÷ | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | = | 103 | + | 100 | x |
| Multiply both sides of the equation by: | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 103 | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 103 | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 103 | × | 103 100 | ( | 5357 5000 | + | x | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 10609 100 | ( | 5357 5000 | + | x | ) | + | 103 | x | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 10609 100 | × | 5357 5000 | + | 10609 100 | x | + | 103 | x | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 56832413 500000 | + | 10609 100 | x | + | 103 | x | ( | 5357 5000 | + | x | ) | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 56832413 500000 | + | 10609 100 | x | + | 103 | x | × | 5357 5000 | + | 103 | x | x | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 56832413 500000 | + | 10609 100 | x | + | 551771 5000 | x | + | 103 | x | x | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 100 | x | ( | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) | ) |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 100 | x | ( | 103 100 | + | x | ) | ( | 5357 5000 | + | x | ) |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 100 | x | × | 103 100 | ( | 5357 5000 | + | x | ) | + | 100 | x |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 103 | x | ( | 5357 5000 | + | x | ) | + | 100 | x | x |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 103 | x | × | 5357 5000 | + | 103 | x | x |
50007 40 | = | 56832413 500000 | + | 1082221 5000 | x | + | 103 | x | x | + | 551771 5000 | x | + | 103 | x | x | + | 100 |
50007 40 | = | 56832413 500000 | + | 204249 625 | x | + | 103 | x | x | + | 103 | x | x | + | 100 | x | x |
50007 40 | = | 56832413 500000 | + | 204249 625 | x | + | 103 | x | x | + | 103 | x | x | + | 100 | x | x |
50007 40 | = | 56832413 500000 | + | 204249 625 | x | + | 103 | x | x | + | 103 | x | x | + | 5357 50 | x | x |
x≈1.277184 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》