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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.
    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 1/x+1/(x+0.2) = 0.04 .
    Question type: Equation
    Solution:Original question:
     1 ÷ x + 1 ÷ ( x +
1
5
) =
1
25
     Multiply both sides of the equation by: x
     1 + 1 ÷ ( x +
1
5
) × x =
1
25
x
     Multiply both sides of the equation by:( x +
1
5
)
     1( x +
1
5
) + 1 x =
1
25
x ( x +
1
5
)
    Remove a bracket on the left of the equation:
     1 x + 1 ×
1
5
+ 1 x =
1
25
x ( x +
1
5
)
    Remove a bracket on the right of the equation::
     1 x + 1 ×
1
5
+ 1 x =
1
25
x x +
1
25
x ×
1
5
    The equation is reduced to :
     1 x +
1
5
+ 1 x =
1
25
x x +
1
125
x
    The equation is reduced to :
     2 x +
1
5
=
1
25
x x +
1
125
x

    After the equation is converted into a general formula, there is a common factor:
    ( √25000x - √62250749 )
    From
        √25000x - √62250749 = 0

    it is concluded that::
        x1=
√62250749
√25000

    Solutions that cannot be obtained by factorization:
        x2≈-0.100200 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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