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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 0.2164/(1+1.05x)-0.0488/(1-0.19x)-0.3956/(1-0.66x) = 0 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The solution of the equation:
x1≈-0.952381 , keep 6 decimal places
x2≈-0.382140 , keep 6 decimal places
x3≈4.265461 , keep 6 decimal places
x4≈5.263158 , keep 6 decimal places
There are 4 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 0.2164/(1+1.05x)-0.0488/(1-0.19x)-0.3956/(1-0.66x) = 0 .
Question type: Equation
Solution:Original question:
541 2500 | ÷ | ( | 1 | + | 21 20 | x | ) | − | 61 1250 | ÷ | ( | 1 | − | 19 100 | x | ) | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 21 20 | x | ) |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 19 100 | x | ) | × | ( | 1 | + | 21 20 | x | ) | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 19 100 | x | ) | × | 1 | − | 61 1250 | ÷ | ( | 1 | − | 19 100 | x | ) | × | 21 20 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 19 100 | x | ) | − | 1281 25000 | ÷ | ( | 1 | − | 19 100 | x | ) | × | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 19 100 | x | ) |
541 2500 | ( | 1 | − | 19 100 | x | ) | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
541 2500 | × | 1 | − | 541 2500 | × | 19 100 | x | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
541 2500 | − | 10279 250000 | x | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
419 2500 | − | 23089 250000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 33 50 | x | ) |
419 2500 | ( | 1 | − | 33 50 | x | ) | − | 23089 250000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
419 2500 | × | 1 | − | 419 2500 | × | 33 50 | x | − | 23089 250000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 23089 250000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 23089 250000 | x | × | 1 | + | 23089 250000 | x | × | 33 50 | x | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 23089 250000 | x | + | 761937 12500000 | x | x | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 19 100 | x | ) | = | 0 |
The solution of the equation:
x1≈-0.952381 , keep 6 decimal places
x2≈-0.382140 , keep 6 decimal places
x3≈4.265461 , keep 6 decimal places
x4≈5.263158 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》