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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-（0.7x/（0.7x+100）））*2.4 = （1-（0.532x/（0.532x+100）））*2.075 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
x1≈-187.969925 , keep 6 decimal places
x2≈-142.857143 , keep 6 decimal places
x3≈184.974388 , keep 6 decimal places
There are 3 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-（0.7x/（0.7x+100）））*2.4 = （1-（0.532x/（0.532x+100）））*2.075 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | ( | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | ) | ) | × | 12 5 | = | ( | 1 | − | ( | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | ) | ) | × | 83 40 |
| 1 | × | 12 5 | − | ( | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | ) | × | 12 5 | = | ( | 1 | − | ( | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | ) | ) | × | 83 40 |
| 1 | × | 12 5 | − | ( | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | ) | × | 12 5 | = | 1 | × | 83 40 | − | ( | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | ) | × | 83 40 |
12 5 | − | ( | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | ) | × | 12 5 | = | 83 40 | − | ( | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | ) | × | 83 40 |
12 5 | − | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | × | 12 5 | = | 83 40 | − | ( | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | ) | × | 83 40 |
12 5 | − | 7 10 | x | ÷ | ( | 7 10 | x | + | 100 | ) | × | 12 5 | = | 83 40 | − | 133 250 | x | ÷ | ( | 133 250 | x | + | 100 | ) | × | 83 40 |
12 5 | − | 42 25 | x | ÷ | ( | 7 10 | x | + | 100 | ) | = | 83 40 | − | 11039 10000 | x | ÷ | ( | 133 250 | x | + | 100 | ) |
| Multiply both sides of the equation by: | ( | 7 10 | x | + | 100 | ) | , | ( | 133 250 | x | + | 100 | ) |
12 5 | ( | 7 10 | x | + | 100 | ) | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 83 40 | ( | 7 10 | x | + | 100 | ) | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
12 5 | × | 7 10 | x | ( | 133 250 | x | + | 100 | ) | + | 12 5 | × | 100 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 83 40 | ( | 7 10 | x | + | 100 | ) | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
12 5 | × | 7 10 | x | ( | 133 250 | x | + | 100 | ) | + | 12 5 | × | 100 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 83 40 | × | 7 10 | x | ( | 133 250 | x | + | 100 | ) | + | 83 40 | × | 100 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
42 25 | x | ( | 133 250 | x | + | 100 | ) | + | 240 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 581 400 | x | ( | 133 250 | x | + | 100 | ) | + | 415 2 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
42 25 | x | × | 133 250 | x | + | 42 25 | x | × | 100 | + | 240 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 581 400 | x | ( | 133 250 | x | + | 100 | ) | + | 415 2 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
42 25 | x | × | 133 250 | x | + | 42 25 | x | × | 100 | + | 240 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 581 400 | x | × | 133 250 | x | + | 581 400 | x | × | 100 | + | 415 2 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 168 | x | + | 240 | ( | 133 250 | x | + | 100 | ) | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 77273 100000 | x | x | + | 581 4 | x | + | 415 2 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 168 | x | + | 240 | × | 133 250 | x | + | 240 | × | 100 | − | 42 25 | x | = | 77273 100000 | x | x | + | 581 4 | x | + | 415 2 | ( | 133 250 | x | + | 100 | ) | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 168 | x | + | 240 | × | 133 250 | x | + | 240 | × | 100 | − | 42 25 | x | = | 77273 100000 | x | x | + | 581 4 | x | + | 415 2 | × | 133 250 | x | + | 415 2 | × | 100 | − | 11039 10000 | x |
2793 3125 | x | x | + | 168 | x | + | 3192 25 | x | + | 24000 | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 77273 100000 | x | x | + | 581 4 | x | + | 11039 100 | x | + | 20750 | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 7392 25 | x | + | 24000 | − | 42 25 | x | ( | 133 250 | x | + | 100 | ) | = | 77273 100000 | x | x | + | 6391 25 | x | + | 20750 | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 7392 25 | x | + | 24000 | − | 42 25 | x | × | 133 250 | x | − | 42 25 | x | = | 77273 100000 | x | x | + | 6391 25 | x | + | 20750 | − | 11039 10000 | x | ( | 7 10 | x | + | 100 | ) |
2793 3125 | x | x | + | 7392 25 | x | + | 24000 | − | 42 25 | x | × | 133 250 | x | − | 42 25 | x | = | 77273 100000 | x | x | + | 6391 25 | x | + | 20750 | − | 11039 10000 | x | × | 7 10 | x | − | 11039 10000 | x |
2793 3125 | x | x | + | 7392 25 | x | + | 24000 | − | 2793 3125 | x | x | − | 168 | x | = | 77273 100000 | x | x | + | 6391 25 | x | + | 20750 | − | 77273 100000 | x | x | − | 11039 100 | x |
2793 3125 | x | x | + | 3192 25 | x | + | 24000 | − | 2793 3125 | x | x | = | 77273 100000 | x | x | + | 581 4 | x | + | 20750 | − | 77273 100000 | x | x |
The solution of the equation:
x1≈-187.969925 , keep 6 decimal places
x2≈-142.857143 , keep 6 decimal places
x3≈184.974388 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》