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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 125/(34+10x) = (30+x)/60 .
    Question type: Equation
    Solution:Original question:
     125 ÷ (34 + 10 x ) = (30 + x ) ÷ 60
     Multiply both sides of the equation by:(34 + 10 x )
     125 = (30 + x ) ÷ 60 × (34 + 10 x )
    Remove a bracket on the right of the equation::
     125 = 30 ÷ 60 × (34 + 10 x ) + x ÷ 60 × (34 + 10 x )
    The equation is reduced to :
     125 =
1
2
(34 + 10 x ) + x ×
1
60
(34 + 10 x )
    Remove a bracket on the right of the equation::
     125 =
1
2
× 34 +
1
2
× 10 x + x ×
1
60
(34 + 10 x )
    The equation is reduced to :
     125 = 17 + 5 x + x ×
1
60
(34 + 10 x )
    Remove a bracket on the right of the equation::
     125 = 17 + 5 x + x ×
1
60
× 34 + x ×
1
60
× 10 x
    The equation is reduced to :
     125 = 17 + 5 x + x ×
17
30
+ x ×
1
6
x
    The equation is reduced to :
     125 = 17 +
167
30
x + x ×
1
6
x

    The solution of the equation:
        x1≈-47.144868 , keep 6 decimal places
        x2≈13.744868 , 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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