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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/(1-0.12x)-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 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 equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
x1≈-0.952381 , keep 6 decimal places
x2≈-0.383581 , keep 6 decimal places
x3≈5.896638 , 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 0.2164/(1+1.05x)-0.0488/(1-0.12x)-0.3956/(1-0.66x) = 0 .
Question type: Equation
Solution:Original question:
541 2500 | ÷ | ( | 1 | + | 21 20 | x | ) | − | 61 1250 | ÷ | ( | 1 | − | 3 25 | x | ) | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 21 20 | x | ) |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 3 25 | x | ) | × | ( | 1 | + | 21 20 | x | ) | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 3 25 | x | ) | × | 1 | − | 61 1250 | ÷ | ( | 1 | − | 3 25 | x | ) | × | 21 20 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
541 2500 | − | 61 1250 | ÷ | ( | 1 | − | 3 25 | x | ) | − | 1281 25000 | ÷ | ( | 1 | − | 3 25 | x | ) | × | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 3 25 | x | ) |
541 2500 | ( | 1 | − | 3 25 | x | ) | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
541 2500 | × | 1 | − | 541 2500 | × | 3 25 | x | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
541 2500 | − | 1623 62500 | x | − | 61 1250 | − | 1281 25000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 9651 125000 | x | − | 989 2500 | ÷ | ( | 1 | − | 33 50 | x | ) | × | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 33 50 | x | ) |
419 2500 | ( | 1 | − | 33 50 | x | ) | − | 9651 125000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | × | 1 | − | 419 2500 | × | 33 50 | x | − | 9651 125000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 9651 125000 | x | ( | 1 | − | 33 50 | x | ) | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 9651 125000 | x | × | 1 | + | 9651 125000 | x | × | 33 50 | x | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | = | 0 |
419 2500 | − | 13827 125000 | x | − | 9651 125000 | x | + | 318483 6250000 | x | x | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 11739 62500 | x | + | 318483 6250000 | x | x | − | 989 2500 | ( | 1 | + | 21 20 | x | ) | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 11739 62500 | x | + | 318483 6250000 | x | x | − | 989 2500 | × | 1 | ( | 1 | − | 3 25 | x | ) | − | 989 2500 | × | 21 20 | x | = | 0 |
419 2500 | − | 11739 62500 | x | + | 318483 6250000 | x | x | − | 989 2500 | ( | 1 | − | 3 25 | x | ) | − | 20769 50000 | x | ( | 1 | − | 3 25 | x | ) | = | 0 |
419 2500 | − | 11739 62500 | x | + | 318483 6250000 | x | x | − | 989 2500 | × | 1 | + | 989 2500 | × | 3 25 | x | − | 20769 50000 | = | 0 |
419 2500 | − | 11739 62500 | x | + | 318483 6250000 | x | x | − | 989 2500 | + | 2967 62500 | x | − | 20769 50000 | x | ( | 1 | − | 3 25 | x | ) | = | 0 |
| - | 57 250 | − | 2193 15625 | x | + | 318483 6250000 | x | x | − | 20769 50000 | x | ( | 1 | − | 3 25 | x | ) | = | 0 |
| - | 57 250 | − | 2193 15625 | x | + | 318483 6250000 | x | x | − | 20769 50000 | x | × | 1 | + | 20769 50000 | x | × | 3 25 | = | 0 |
| - | 57 250 | − | 2193 15625 | x | + | 318483 6250000 | x | x | − | 20769 50000 | x | + | 62307 1250000 | x | x | = | 0 |
| - | 57 250 | − | 138933 250000 | x | + | 318483 6250000 | x | x | + | 62307 1250000 | x | x | = | 0 |
The solution of the equation:
x1≈-0.952381 , keep 6 decimal places
x2≈-0.383581 , keep 6 decimal places
x3≈5.896638 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》