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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 97.806/(1+0.7764*x)+97.806/(1+0.62305*x)+98.2688/(1+0.62305*x)+98.2688/(1+0.5*x) = 382.9289 .
Question type: Equation
Solution:Original question:
48903 500 | ÷ | ( | 1 | + | 1941 2500 | x | ) | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 12461 20000 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | = | 3829289 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 1941 2500 | x | ) |
48903 500 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | = | 3829289 10000 | ( | 1 | + | 1941 2500 | x | ) |
48903 500 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | 1 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | 1941 2500 | x | + | 61418 625 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | = | 3829289 10000 | ( | 1 | + | 1941 2500 | x | ) |
48903 500 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | 1 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | 1941 2500 | x | + | 61418 625 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | = | 3829289 10000 | × | 1 | + | 3829289 10000 | × | 1941 2500 | x |
48903 500 | + | 48903 500 | ÷ | ( | 1 | + | 12461 20000 | x | ) | + | 94920723 1250000 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | x | + | 61418 625 | ÷ | ( | 1 | + | 12461 20000 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | = | 3829289 10000 | + | 7432649949 25000000 | x |
| Multiply both sides of the equation by: | ( | 1 | + | 12461 20000 | x | ) |
48903 500 | ( | 1 | + | 12461 20000 | x | ) | + | 48903 500 | + | 94920723 1250000 | x | + | 61418 625 | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | × | ( | 1 | + | 1941 2500 | x | ) | ( | 1 | + | 12461 20000 | x | ) | = | 3829289 10000 | ( | 1 | + | 12461 20000 | x | ) | + | 7432649949 25000000 | x | ( | 1 | + | 12461 20000 | x | ) |
48903 500 | × | 1 | + | 48903 500 | × | 12461 20000 | x | + | 48903 500 | + | 94920723 1250000 | x | + | 61418 625 | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | = | 3829289 10000 | ( | 1 | + | 12461 20000 | x | ) | + | 7432649949 25000000 | x | ( | 1 | + | 12461 20000 | x | ) |
48903 500 | × | 1 | + | 48903 500 | × | 12461 20000 | x | + | 48903 500 | + | 94920723 1250000 | x | + | 61418 625 | ( | 1 | + | 1941 2500 | x | ) | + | 61418 625 | ÷ | ( | 1 | + | 1 2 | x | ) | = | 3829289 10000 | × | 1 | + | 3829289 10000 | × | 12461 20000 | x | + | 7432649949 25000000 | x | ( | 1 | + | 12461 20000 | x | ) |
The solution of the equation:
x1≈-1.885461 , keep 6 decimal places
x2≈-1.605008 , keep 6 decimal places
x3≈-1.381708 , keep 6 decimal places
x4≈-1.287996 , keep 6 decimal places
x5≈0.038215 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》