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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.
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    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+1.5)+1/(d+6) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ d + 1 ÷ ( d +
3
2
) + 1 ÷ ( d + 6) = 0
     Multiply both sides of the equation by: d
     1 + 1 ÷ ( d +
3
2
) × d + 1 ÷ ( d + 6) × d = 0
     Multiply both sides of the equation by:( d +
3
2
)
     1( d +
3
2
) + 1 d + 1 ÷ ( d + 6) × d ( d +
3
2
) = 0
    Remove a bracket on the left of the equation:
     1 d + 1 ×
3
2
+ 1 d + 1 ÷ ( d + 6) × d ( d +
3
2
) = 0
    The equation is reduced to :
     1 d +
3
2
+ 1 d + 1 ÷ ( d + 6) × d ( d +
3
2
) = 0
    The equation is reduced to :
     2 d +
3
2
+ 1 ÷ ( d + 6) × d ( d +
3
2
) = 0
     Multiply both sides of the equation by:( d + 6)
     2 d ( d + 6) +
3
2
( d + 6) + 1 d ( d +
3
2
) = 0
    Remove a bracket on the left of the equation:
     2 d d + 2 d × 6 +
3
2
( d + 6) + 1 d ( d +
3
2
) = 0
    The equation is reduced to :
     2 d d + 12 d +
3
2
( d + 6) + 1 d ( d +
3
2
) = 0
    Remove a bracket on the left of the equation:
     2 d d + 12 d +
3
2
d +
3
2
× 6 + 1 d ( d +
3
2
) = 0
    The equation is reduced to :
     2 d d + 12 d +
3
2
d + 9 + 1 d ( d +
3
2
) = 0
    The equation is reduced to :
     2 d d +
27
2
d + 9 + 1 d ( d +
3
2
) = 0
    Remove a bracket on the left of the equation:
     2 d d +
27
2
d + 9 + 1 d d + 1 d ×
3
2
= 0
    The equation is reduced to :
     2 d d +
27
2
d + 9 + 1 d d +
3
2
d = 0
    The equation is reduced to :
     2 d d + 15 d + 9 + 1 d d = 0

    The solution of the equation:
        d1≈-4.302776 , keep 6 decimal places
        d2≈-0.697224 , 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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