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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 -3.7387+(2195.01*0.0009)/(0.0009+x) = 0.7503-0.7562*x .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
After the equation is converted into a general formula, there is a common factor:
( x +0 )
From
x + 0 = 0
it is concluded that:：
x1=0, it is the incremental root of the eqution.
Solutions that cannot be obtained by factorization:
x2≈0.477690 , keep 6 decimal places
x3≈5.457670 , 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 -3.7387+(2195.01*0.0009)/(0.0009+x) = 0.7503-0.7562*x .
Question type: Equation
Solution:Original question:
| - | 37387 10000 | + | ( | 219501 100 | × | 9 10000 | ) | ÷ | ( | 9 10000 | + | x | ) | = | 7503 10000 | − | 3781 5000 | x |
| Multiply both sides of the equation by: | ( | 9 10000 | + | x | ) |
| - | 37387 10000 | ( | 9 10000 | + | x | ) | + | ( | 219501 100 | × | 9 10000 | ) | = | 7503 10000 | ( | 9 10000 | + | x | ) | − | 3781 5000 | x | ( | 9 10000 | + | x | ) |
| - | 37387 10000 | × | 9 10000 | − | 37387 10000 | x | + | ( | 219501 100 | × | 9 10000 | ) | = | 7503 10000 | ( | 9 10000 | + | x | ) | − | 3781 5000 | x | ( | 9 10000 | + | x | ) |
| - | 37387 10000 | × | 9 10000 | − | 37387 10000 | x | + | ( | 219501 100 | × | 9 10000 | ) | = | 7503 10000 | × | 9 10000 | + | 7503 10000 | x | − | 3781 5000 | x | ( | 9 10000 | + | x | ) |
| - | 336483 100000000 | − | 37387 10000 | x | + | ( | 219501 100 | × | 9 10000 | ) | = | 67527 100000000 | + | 7503 10000 | x | − | 3781 5000 | x | ( | 9 10000 | + | x | ) |
| - | 336483 100000000 | − | 37387 10000 | x | + | 219501 100 | × | 9 10000 | = | 67527 100000000 | + | 7503 10000 | x | − | 3781 5000 | x | ( | 9 10000 | + | x | ) |
| - | 336483 100000000 | − | 37387 10000 | x | + | 219501 100 | × | 9 10000 | = | 67527 100000000 | + | 7503 10000 | x | − | 3781 5000 | x | × | 9 10000 | − | 3781 5000 | x | x |
| - | 336483 100000000 | − | 37387 10000 | x | + | 1975509 1000000 | = | 67527 100000000 | + | 7503 10000 | x | − | 34029 50000000 | x | − | 3781 5000 | x | x |
After the equation is converted into a general formula, there is a common factor:
( x +0 )
From
x + 0 = 0
it is concluded that:：
x1=0, it is the incremental root of the eqution.
Solutions that cannot be obtained by factorization:
x2≈0.477690 , keep 6 decimal places
x3≈5.457670 , 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》