Mathematics
         
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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 (1/6X+1/6X+60):X-(1/6X+1/6X+60) = 7:8 .
    Question type: Equation
    Solution:Original question:
     (1 ÷ 6 × X + 1 ÷ 6 × X + 60) ÷ X (1 ÷ 6 × X + 1 ÷ 6 × X + 60) = 7 ÷ 8
     Multiply both sides of the equation by: X
     (1 ÷ 6 × X + 1 ÷ 6 × X + 60)(1 ÷ 6 × X + 1 ÷ 6 × X + 60) X = 7 ÷ 8 × X
    Remove a bracket on the left of the equation::
     1 ÷ 6 × X + 1 ÷ 6 × X + 60(1 ÷ 6 × X + 1 ÷ 6 × X + 60) X = 7 ÷ 8 × X
    The equation is reduced to :
     
1
6
X +
1
6
X + 60(1 ÷ 6 × X + 1 ÷ 6 × X + 60) X =
7
8
X
    The equation is reduced to :
     
1
3
X + 60(1 ÷ 6 × X + 1 ÷ 6 × X + 60) X =
7
8
X
    Remove a bracket on the left of the equation:
     
1
3
X + 601 ÷ 6 × X X 1 ÷ 6 × X X 60 =
7
8
X
    The equation is reduced to :
     
1
3
X + 60
1
6
X X
1
6
X X 60 X =
7
8
X
    The equation is reduced to :
      -
179
3
X + 60
1
6
X X
1
6
X X =
7
8
X

    The solution of the equation:
        X1≈-182.610703 , keep 6 decimal places
        X2≈0.985703 , 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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