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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 25.948*0.05/（25.948-x）+6.137*0.15/（6.137-x）+2.37*0.35/（2.37-x）+0.4/（1-x）+0.903*0.05/（0.903-x） = 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 :
Remove a bracket on the left of the equation:
After the equation is converted into a general formula, there is a common factor:
( 1000x - √316772291 )
From
1000x - √316772291 = 0
it is concluded that:：
Solutions that cannot be obtained by factorization:
x2≈1.396830 , keep 6 decimal places
x3≈4.306026 , 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 25.948*0.05/（25.948-x）+6.137*0.15/（6.137-x）+2.37*0.35/（2.37-x）+0.4/（1-x）+0.903*0.05/（0.903-x） = 0 .
Question type: Equation
Solution:Original question:
6487 250 | × | 1 20 | ÷ | ( | 6487 250 | − | x | ) | + | 6137 1000 | × | 3 20 | ÷ | ( | 6137 1000 | − | x | ) | + | 237 100 | × | 7 20 | ÷ | ( | 237 100 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | + | 903 1000 | = | 0 |
| Multiply both sides of the equation by: | ( | 6487 250 | − | x | ) |
6487 250 | × | 1 20 | + | 6137 1000 | × | 3 20 | ÷ | ( | 6137 1000 | − | x | ) | × | ( | 6487 250 | − | x | ) | + | 237 100 | × | 7 20 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
6487 250 | × | 1 20 | + | 6137 1000 | × | 3 20 | ÷ | ( | 6137 1000 | − | x | ) | × | 6487 250 | − | 6137 1000 | × | 3 20 | ÷ | ( | 6137 1000 | − | x | ) | × | x | + | 237 100 | × | 7 20 | = | 0 |
6487 5000 | + | 119432157 5000000 | ÷ | ( | 6137 1000 | − | x | ) | − | 18411 20000 | ÷ | ( | 6137 1000 | − | x | ) | × | x | + | 1659 2000 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 6487 250 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 6137 1000 | − | x | ) |
6487 5000 | ( | 6137 1000 | − | x | ) | + | 119432157 5000000 | − | 18411 20000 | x | + | 1659 2000 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 6487 250 | − | x | ) | = | 0 |
6487 5000 | × | 6137 1000 | − | 6487 5000 | x | + | 119432157 5000000 | − | 18411 20000 | x | + | 1659 2000 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | = | 0 |
39810719 5000000 | − | 6487 5000 | x | + | 119432157 5000000 | − | 18411 20000 | x | + | 1659 2000 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
39810719 1250000 | − | 44359 20000 | x | + | 1659 2000 | ÷ | ( | 237 100 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 903 20000 | = | 0 |
| Multiply both sides of the equation by: | ( | 237 100 | − | x | ) |
39810719 1250000 | ( | 237 100 | − | x | ) | − | 44359 20000 | x | ( | 237 100 | − | x | ) | + | 1659 2000 | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | = | 0 |
39810719 1250000 | × | 237 100 | − | 39810719 1250000 | x | − | 44359 20000 | x | ( | 237 100 | − | x | ) | + | 1659 2000 | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
9435140403 125000000 | − | 39810719 1250000 | x | − | 44359 20000 | x | ( | 237 100 | − | x | ) | + | 1659 2000 | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 6487 250 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
9435140403 125000000 | ( | 1 | − | x | ) | − | 39810719 1250000 | x | ( | 1 | − | x | ) | − | 44359 20000 | x | ( | 237 100 | − | x | ) | ( | 1 | − | x | ) | + | 1659 2000 | ( | 6487 250 | − | x | ) | ( | 6137 1000 | − | x | ) | = | 0 |
9435140403 125000000 | × | 1 | − | 9435140403 125000000 | x | − | 39810719 1250000 | x | ( | 1 | − | x | ) | − | 44359 20000 | x | ( | 237 100 | − | x | ) | ( | 1 | − | x | ) | + | 1659 2000 | = | 0 |
9435140403 125000000 | − | 9435140403 125000000 | x | − | 39810719 1250000 | x | ( | 1 | − | x | ) | − | 44359 20000 | x | ( | 237 100 | − | x | ) | ( | 1 | − | x | ) | + | 1659 2000 | ( | 6487 250 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 903 1000 | − | x | ) |
9435140403 125000000 | ( | 903 1000 | − | x | ) | − | 9435140403 125000000 | x | ( | 903 1000 | − | x | ) | − | 39810719 1250000 | x | ( | 1 | − | x | ) | ( | 903 1000 | − | x | ) | − | 44359 20000 | x | ( | 237 100 | − | x | ) | = | 0 |
9435140403 125000000 | × | 903 1000 | − | 9435140403 125000000 | x | − | 9435140403 125000000 | x | ( | 903 1000 | − | x | ) | − | 39810719 1250000 | x | ( | 1 | − | x | ) | ( | 903 1000 | − | x | ) | − | 44359 20000 | = | 0 |
After the equation is converted into a general formula, there is a common factor:
( 1000x - √316772291 )
From
1000x - √316772291 = 0
it is concluded that:：
| x1= | √316772291 1000 |
Solutions that cannot be obtained by factorization:
x2≈1.396830 , keep 6 decimal places
x3≈4.306026 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》