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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 30.56*0.847*(x+0.1)/(1+0.847*(x+0.1))*(100-8.28-1.4)/100/(1+0.31*0.014)+2.26*(x+0.1)/(1.3*0.1) = 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 :
After the equation is converted into a general formula, there is a common factor:
( 10x + 1 )
From
10x + 1 = 0
it is concluded that:：
Solutions that cannot be obtained by factorization:
x2≈-2.861490 , keep 6 decimal places
x3≈-1.280638 , 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 30.56*0.847*(x+0.1)/(1+0.847*(x+0.1))*(100-8.28-1.4)/100/(1+0.31*0.014)+2.26*(x+0.1)/(1.3*0.1) = 0 .
Question type: Equation
Solution:Original question:
764 25 | × | 847 1000 | ( | x | + | 1 10 | ) | ÷ | ( | 1 | + | 847 1000 | ( | x | + | 1 10 | ) | ) | × | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | 100 | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 113 50 | ( | x | + | 1 10 | ) | ÷ | ( | 13 10 | × | 1 10 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 847 1000 | ( | x | + | 1 10 | ) | ) |
764 25 | × | 847 1000 | ( | x | + | 1 10 | ) | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | 100 | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 113 50 | ( | x | + | 1 10 | ) | ÷ | ( | 13 10 | × | 1 10 | ) | × | ( | 1 | + | 847 1000 | ( | x | + | 1 10 | ) | ) | = | 0 |
764 25 | × | 847 1000 | x | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | 100 | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 764 25 | × | 847 1000 | × | 1 10 | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | 100 | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | = | 0 |
161777 625000 | x | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 161777 6250000 | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 113 50 | ( | x | + | 1 10 | ) | ÷ | ( | 13 10 | × | 1 10 | ) | × | ( | 1 | + | 847 1000 | ( | x | + | 1 10 | ) | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 31 100 | × | 7 500 | ) |
161777 625000 | x | ( | 100 | − | 207 25 | − | 7 5 | ) | + | 161777 6250000 | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | × | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 113 50 | ( | x | + | 1 10 | ) | ÷ | ( | 13 10 | × | 1 10 | ) | × | ( | 1 | + | 847 1000 | ( | x | + | 1 10 | ) | ) | ( | 1 | + | 31 100 | × | 7 500 | ) | = | 0 |
161777 625000 | x | × | 100 | − | 161777 625000 | x | × | 207 25 | − | 161777 625000 | x | × | 7 5 | + | 161777 6250000 | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | = | 0 |
161777 6250 | x | − | 33487839 15625000 | x | − | 1132439 3125000 | x | + | 161777 6250000 | ( | 100 | − | 207 25 | − | 7 5 | ) | ÷ | ( | 1 | + | 31 100 | × | 7 500 | ) | × | ( | 1 | + | 31 100 | × | 7 500 | ) | + | 113 50 | ( | x | + | 1 10 | ) | = | 0 |
After the equation is converted into a general formula, there is a common factor:
( 10x + 1 )
From
10x + 1 = 0
it is concluded that:：
| x1= | - | 1 10 |
Solutions that cannot be obtained by factorization:
x2≈-2.861490 , keep 6 decimal places
x3≈-1.280638 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》