Mathematics
         
语言：中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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 (x/(x+107.8)-2.5)/(x/(x+138.5)-2.5) = 6.2/4.8 .
    Question type: Equation
    Solution:Original question:
     ( x ÷ ( x +
539
5
) −
5
2
) ÷ ( x ÷ ( x +
277
2
) −
5
2
) =
31
5
 ÷
24
5
     Multiply both sides of the equation by:( x ÷ ( x +
277
2
) −
5
2
)
     ( x ÷ ( x +
539
5
) −
5
2
) =
31
5
 ÷
24
5
 × ( x ÷ ( x +
277
2
) −
5
2
)
    Remove a bracket on the left of the equation:：
      x ÷ ( x +
539
5
) −
5
2
 =
31
5
 ÷
24
5
 × ( x ÷ ( x +
277
2
) −
5
2
)
    Remove a bracket on the right of the equation:：
      x ÷ ( x +
539
5
) −
5
2
 =
31
5
 ÷
24
5
 × x ÷ ( x +
277
2
) −
31
5
 ÷
24
5
 ×
5
2
    The equation is reduced to :
      x ÷ ( x +
539
5
) −
5
2
 =
31
24
 x ÷ ( x +
277
2
) −
155
48
     Multiply both sides of the equation by:( x +
539
5
) ,  ( x +
277
2
)
      x ( x +
277
2
) −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x ( x +
539
5
) −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x ( x +
539
5
) −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x x +
31
24
 x ×
539
5
 −
155
48
( x +
539
5
)( x +
277
2
)
    The equation is reduced to :
      x x + x ×
277
2
 −
5
2
( x +
539
5
)( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
5
2
 ×
539
5
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
( x +
539
5
)( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
5
2
 ×
539
5
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
155
48
 ×
539
5
( x +
277
2
)
    The equation is reduced to :
      x x +
277
2
 x −
5
2
 x ( x +
277
2
) −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
16709
48
( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x +
277
2
 x −
5
2
 x x −
5
2
 x ×
277
2
 −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x ( x +
277
2
) −
16709
48
( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x +
277
2
 x −
5
2
 x x −
5
2
 x ×
277
2
 −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x x −
155
48
 x ×
277
2
 −
16709
48
    The equation is reduced to :
      x x +
277
2
 x −
5
2
 x x −
1385
4
 x −
539
2
( x +
277
2
) =
31
24
 x x +
16709
120
 x −
155
48
 x x −
42935
96
 x −
16709
48
( x +
277
2
)
    The equation is reduced to :
      x x −
831
4
 x −
5
2
 x x −
539
2
( x +
277
2
) =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
( x +
277
2
)
    Remove a bracket on the left of the equation:
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
539
2
 ×
277
2
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
( x +
277
2
)
    Remove a bracket on the right of the equation:：
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
539
2
 ×
277
2
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
 x −
16709
48
 ×
277
2
    The equation is reduced to :
      x x −
831
4
 x −
5
2
 x x −
539
2
 x −
149303
4
 =
31
24
 x x −
147839
480
 x −
155
48
 x x −
16709
48
 x −
4628393
96
    The equation is reduced to :
      x x −
1909
4
 x −
5
2
 x x −
149303
4
 =
31
24
 x x −
314929
480
 x −
155
48
 x x −
4628393
96

    the solutions is:
        x≈-74.415843 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》


Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。