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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 0.1/（1+0.20326x)+0.9/(1-0.9999984x) = 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:
( x - 1 )
From
x - 1 = 0
it is concluded that:：
Solutions that cannot be obtained by factorization:
x2≈-12.057758 , keep 6 decimal places
x3≈-4.919807 , keep 6 decimal places
There are 3 solution(s).
There is(are) 1 additive root(s) and 2 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)
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 0.1/（1+0.20326x)+0.9/(1-0.9999984x) = 0 .
Question type: Equation
Solution:Original question:
1 10 | ÷ | ( | 1 | + | 10163 50000 | x | ) | + | 9 10 | ÷ | ( | 1 | − | 624999 625000 | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | 10163 50000 | x | ) |
1 10 | + | 9 10 | ÷ | ( | 1 | − | 624999 625000 | x | ) | × | ( | 1 | + | 10163 50000 | x | ) | = | 0 |
1 10 | + | 9 10 | ÷ | ( | 1 | − | 624999 625000 | x | ) | × | 1 | + | 9 10 | ÷ | ( | 1 | − | 624999 625000 | x | ) | × | 10163 50000 | x | = | 0 |
1 10 | + | 9 10 | ÷ | ( | 1 | − | 624999 625000 | x | ) | + | 91467 500000 | ÷ | ( | 1 | − | 624999 625000 | x | ) | × | x | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | 624999 625000 | x | ) |
1 10 | ( | 1 | − | 624999 625000 | x | ) | + | 9 10 | + | 91467 500000 | x | = | 0 |
1 10 | × | 1 | − | 1 10 | × | 624999 625000 | x | + | 9 10 | + | 91467 500000 | x | = | 0 |
1 10 | − | 624999 6250000 | x | + | 9 10 | + | 91467 500000 | x | = | 0 |
After the equation is converted into a general formula, there is a common factor:
( x - 1 )
From
x - 1 = 0
it is concluded that:：
| x1=1 | , it is the incremental root of the eqution. |
Solutions that cannot be obtained by factorization:
x2≈-12.057758 , keep 6 decimal places
x3≈-4.919807 , keep 6 decimal places
There are 3 solution(s).
There is(are) 1 additive root(s) and 2 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)
解程的详细方法请参阅：《方程的解法》