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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 (19.64+7.75x)*(43.05+7.75x)/(7.75-7.75x)/(12.23-7.75x) = 23.335 .
Question type: Equation
Solution:Original question:
| ( | 491 25 | + | 31 4 | x | ) | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 31 4 | − | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | = | 4667 200 |
| Multiply both sides of the equation by: | ( | 31 4 | − | 31 4 | x | ) |
| ( | 491 25 | + | 31 4 | x | ) | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | = | 4667 200 | ( | 31 4 | − | 31 4 | x | ) |
491 25 | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | = | 4667 200 | ( | 31 4 | − | 31 4 | x | ) |
491 25 | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | = | 4667 200 | × | 31 4 | − | 4667 200 | × | 31 4 | x |
491 25 | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | ÷ | ( | 1223 100 | − | 31 4 | x | ) | = | 144677 800 | − | 144677 800 | x |
| Multiply both sides of the equation by: | ( | 1223 100 | − | 31 4 | x | ) |
491 25 | ( | 861 20 | + | 31 4 | x | ) | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | = | 144677 800 | ( | 1223 100 | − | 31 4 | x | ) | − | 144677 800 | x | ( | 1223 100 | − | 31 4 | x | ) |
491 25 | × | 861 20 | + | 491 25 | × | 31 4 | x | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | = | 144677 800 | ( | 1223 100 | − | 31 4 | x | ) | − | 144677 800 | x | ( | 1223 100 | − | 31 4 | x | ) |
491 25 | × | 861 20 | + | 491 25 | × | 31 4 | x | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | = | 144677 800 | × | 1223 100 | − | 144677 800 | × | 31 4 | x | − | 144677 800 | x | ( | 1223 100 | − | 31 4 | x | ) |
422751 500 | + | 15221 100 | x | + | 31 4 | x | ( | 861 20 | + | 31 4 | x | ) | = | 176939971 80000 | − | 4484987 3200 | x | − | 144677 800 | x | ( | 1223 100 | − | 31 4 | x | ) |
422751 500 | + | 15221 100 | x | + | 31 4 | x | × | 861 20 | + | 31 4 | x | × | 31 4 | x | = | 176939971 80000 | − | 4484987 3200 | x | − | 144677 800 | x | ( | 1223 100 | − | 31 4 | x | ) |
422751 500 | + | 15221 100 | x | + | 31 4 | x | × | 861 20 | + | 31 4 | x | × | 31 4 | x | = | 176939971 80000 | − | 4484987 3200 | x | − | 144677 800 | x | × | 1223 100 | + | 144677 800 | x | × | 31 4 | x |
422751 500 | + | 15221 100 | x | + | 26691 80 | x | + | 961 16 | x | x | = | 176939971 80000 | − | 4484987 3200 | x | − | 176939971 80000 | x | + | 4484987 3200 | x | x |
The solution of the equation:
x1≈0.380741 , keep 6 decimal places
x2≈1.578065 , keep 6 decimal places
x3≈2.674919 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》