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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 0.703/（5-x）+0.5656/（2.6515-x）+0.5049/（1.8939-x）+0.09308/（0.8333-x）+0.01387/（0.3864-x） = 0 .
Question type: Equation
Solution:Original question:
703 1000 | ÷ | ( | 5 | − | x | ) | + | 707 1250 | ÷ | ( | 5303 2000 | − | x | ) | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | + | 1387 100000 | ÷ | ( | 483 1250 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 5 | − | x | ) |
703 1000 | + | 707 1250 | ÷ | ( | 5303 2000 | − | x | ) | × | ( | 5 | − | x | ) | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | × | ( | 5 | − | x | ) | + | 1387 100000 | ÷ | ( | 483 1250 | − | x | ) | = | 0 |
703 1000 | + | 707 1250 | ÷ | ( | 5303 2000 | − | x | ) | × | 5 | − | 707 1250 | ÷ | ( | 5303 2000 | − | x | ) | × | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | = | 0 |
703 1000 | + | 707 250 | ÷ | ( | 5303 2000 | − | x | ) | − | 707 1250 | ÷ | ( | 5303 2000 | − | x | ) | × | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | × | ( | 5 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 5303 2000 | − | x | ) |
703 1000 | ( | 5303 2000 | − | x | ) | + | 707 250 | − | 707 1250 | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | × | ( | 5 | − | x | ) | = | 0 |
703 1000 | × | 5303 2000 | − | 703 1000 | x | + | 707 250 | − | 707 1250 | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | = | 0 |
3728009 2000000 | − | 703 1000 | x | + | 707 250 | − | 707 1250 | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | = | 0 |
9384009 2000000 | − | 6343 5000 | x | + | 5049 10000 | ÷ | ( | 18939 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 1387 100000 | = | 0 |
| Multiply both sides of the equation by: | ( | 18939 10000 | − | x | ) |
9384009 2000000 | ( | 18939 10000 | − | x | ) | − | 6343 5000 | x | ( | 18939 10000 | − | x | ) | + | 5049 10000 | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | × | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | = | 0 |
9384009 2000000 | × | 18939 10000 | − | 9384009 2000000 | x | − | 6343 5000 | x | ( | 18939 10000 | − | x | ) | + | 5049 10000 | ( | 5 | − | x | ) | ( | 5303 2000 | − | x | ) | + | 2327 25000 | ÷ | ( | 8333 10000 | − | x | ) | = | 0 |
The solution of the equation:
x1≈0.926675 , keep 6 decimal places
x2≈2.227533 , keep 6 decimal places
x3≈3.990650 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》