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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/d+1/(d+0.2) = 1/(d+1.25) .
    Question type: Equation
    Solution:Original question:
     1 ÷ d + 1 ÷ ( d +
1
5
) = 1 ÷ ( d +
5
4
)
     Multiply both sides of the equation by: d  ,  ( d +
5
4
)
     1( d +
5
4
) + 1 ÷ ( d +
1
5
) × d ( d +
5
4
) = 1 d
    Remove a bracket on the left of the equation::
     1 d + 1 ×
5
4
+ 1 ÷ ( d +
1
5
) × d ( d +
5
4
) = 1 d
    The equation is reduced to :
     1 d +
5
4
+ 1 ÷ ( d +
1
5
) × d ( d +
5
4
) = 1 d
     Multiply both sides of the equation by:( d +
1
5
)
     1 d ( d +
1
5
) +
5
4
( d +
1
5
) + 1 d ( d +
5
4
) = 1 d ( d +
1
5
)
    Remove a bracket on the left of the equation:
     1 d d + 1 d ×
1
5
+
5
4
( d +
1
5
) + 1 d ( d +
5
4
) = 1 d ( d +
1
5
)
    Remove a bracket on the right of the equation::
     1 d d + 1 d ×
1
5
+
5
4
( d +
1
5
) + 1 d ( d +
5
4
) = 1 d d + 1 d ×
1
5
    The equation is reduced to :
     1 d d +
1
5
d +
5
4
( d +
1
5
) + 1 d ( d +
5
4
) = 1 d d +
1
5
d
    Remove a bracket on the left of the equation:
     1 d d +
1
5
d +
5
4
d +
5
4
×
1
5
+ 1 d ( d +
5
4
) = 1 d d +
1
5
d
    The equation is reduced to :
     1 d d +
1
5
d +
5
4
d +
1
4
+ 1 d ( d +
5
4
) = 1 d d +
1
5
d
    The equation is reduced to :
     1 d d +
29
20
d +
1
4
+ 1 d ( d +
5
4
) = 1 d d +
1
5
d
    Remove a bracket on the left of the equation:
     1 d d +
29
20
d +
1
4
+ 1 d d + 1 d ×
5
4
= 1 d d +
1
5
d
    The equation is reduced to :
     1 d d +
29
20
d +
1
4
+ 1 d d +
5
4
d = 1 d d +
1
5
d
    The equation is reduced to :
     1 d d +
27
10
d +
1
4
+ 1 d d = 1 d d +
1
5
d

    The solution of the equation:
        d1≈-2.395644 , keep 6 decimal places
        d2≈-0.104356 , 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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