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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 0.357/(1+1.7x)+0.0276/(1+0.12x)-0.3009/(1-0.51x) = 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 solution of the equation:
x1≈-6.228580 , keep 6 decimal places
x2≈-0.588235 , keep 6 decimal places
x3≈0.125400 , keep 6 decimal places
x4≈1.960784 , 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 0.357/(1+1.7x)+0.0276/(1+0.12x)-0.3009/(1-0.51x) = 0 .
Question type: Equation
Solution:Original question:
357 1000 | ÷ | ( | 1 | + | 17 10 | x | ) | + | 69 2500 | ÷ | ( | 1 | + | 3 25 | x | ) | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 17 10 | x | ) |
357 1000 | + | 69 2500 | ÷ | ( | 1 | + | 3 25 | x | ) | × | ( | 1 | + | 17 10 | x | ) | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | = | 0 |
357 1000 | + | 69 2500 | ÷ | ( | 1 | + | 3 25 | x | ) | × | 1 | + | 69 2500 | ÷ | ( | 1 | + | 3 25 | x | ) | × | 17 10 | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | = | 0 |
357 1000 | + | 69 2500 | ÷ | ( | 1 | + | 3 25 | x | ) | + | 1173 25000 | ÷ | ( | 1 | + | 3 25 | x | ) | × | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 3 25 | x | ) |
357 1000 | ( | 1 | + | 3 25 | x | ) | + | 69 2500 | + | 1173 25000 | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
357 1000 | × | 1 | + | 357 1000 | × | 3 25 | x | + | 69 2500 | + | 1173 25000 | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
357 1000 | + | 1071 25000 | x | + | 69 2500 | + | 1173 25000 | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | + | 561 6250 | x | − | 3009 10000 | ÷ | ( | 1 | − | 51 100 | x | ) | × | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 51 100 | x | ) |
1923 5000 | ( | 1 | − | 51 100 | x | ) | + | 561 6250 | x | ( | 1 | − | 51 100 | x | ) | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | × | 1 | − | 1923 5000 | × | 51 100 | x | + | 561 6250 | x | ( | 1 | − | 51 100 | x | ) | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | − | 98073 500000 | x | + | 561 6250 | x | ( | 1 | − | 51 100 | x | ) | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | − | 98073 500000 | x | + | 561 6250 | x | × | 1 | − | 561 6250 | x | × | 51 100 | x | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | = | 0 |
1923 5000 | − | 98073 500000 | x | + | 561 6250 | x | − | 28611 625000 | x | x | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | − | 53193 500000 | x | − | 28611 625000 | x | x | − | 3009 10000 | ( | 1 | + | 17 10 | x | ) | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | − | 53193 500000 | x | − | 28611 625000 | x | x | − | 3009 10000 | × | 1 | ( | 1 | + | 3 25 | x | ) | − | 3009 10000 | × | 17 10 | x | = | 0 |
1923 5000 | − | 53193 500000 | x | − | 28611 625000 | x | x | − | 3009 10000 | ( | 1 | + | 3 25 | x | ) | − | 51153 100000 | x | ( | 1 | + | 3 25 | x | ) | = | 0 |
1923 5000 | − | 53193 500000 | x | − | 28611 625000 | x | x | − | 3009 10000 | × | 1 | − | 3009 10000 | × | 3 25 | x | − | 51153 100000 | = | 0 |
1923 5000 | − | 53193 500000 | x | − | 28611 625000 | x | x | − | 3009 10000 | − | 9027 250000 | x | − | 51153 100000 | x | ( | 1 | + | 3 25 | x | ) | = | 0 |
The solution of the equation:
x1≈-6.228580 , keep 6 decimal places
x2≈-0.588235 , keep 6 decimal places
x3≈0.125400 , keep 6 decimal places
x4≈1.960784 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》