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/(522.47*2))*149.19)/((x+(x/(522.47*2))*149.19)+5) = 0.16 .
    Question type: Equation
    Solution:Original question:
     ( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) ÷ (( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) + 5) =
4
25
     Multiply both sides of the equation by:(( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) + 5)
     ( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) =
4
25
(( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) + 5)
    Remove a bracket on the left of the equation::
      x + ( x ÷ (
52247
100
× 2)) ×
14919
100
=
4
25
(( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) + 5)
    Remove a bracket on the right of the equation::
      x + ( x ÷ (
52247
100
× 2)) ×
14919
100
=
4
25
( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) +
4
25
× 5
    The equation is reduced to :
      x + ( x ÷ (
52247
100
× 2)) ×
14919
100
=
4
25
( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) +
4
5
    Remove a bracket on the left of the equation:
      x + x ÷ (
52247
100
× 2) ×
14919
100
=
4
25
( x + ( x ÷ (
52247
100
× 2)) ×
14919
100
) +
4
5
    Remove a bracket on the right of the equation::
      x + x ÷ (
52247
100
× 2) ×
14919
100
=
4
25
x +
4
25
( x ÷ (
52247
100
× 2)) ×
14919
100
+
4
5
    The equation is reduced to :
      x + x ÷ (
52247
100
× 2) ×
14919
100
=
4
25
x +
14919
625
( x ÷ (
52247
100
× 2)) +
4
5
     Multiply both sides of the equation by:(
52247
100
× 2)
      x (
52247
100
× 2) + x ×
14919
100
=
4
25
x (
52247
100
× 2) +
14919
625
( x ÷ (
52247
100
× 2))(
52247
100
× 2) +
4
5
(
52247
100
× 2)
    Remove a bracket on the left of the equation:
      x ×
52247
100
× 2 + x ×
14919
100
=
4
25
x (
52247
100
× 2) +
14919
625
( x ÷ (
52247
100
× 2))(
52247
100
× 2) +
4
5
(
52247
100
× 2)
    Remove a bracket on the right of the equation::
      x ×
52247
100
× 2 + x ×
14919
100
=
4
25
x ×
52247
100
× 2 +
14919
625
( x ÷ (
52247
100
× 2))(
52247
100
× 2) +
4
5
(
52247
100
× 2)
    The equation is reduced to :
      x ×
52247
50
+ x ×
14919
100
=
104494
625
x +
14919
625
( x ÷ (
52247
100
× 2))(
52247
100
× 2) +
4
5
(
52247
100
× 2)
    The equation is reduced to :
     
119413
100
x =
104494
625
x +
14919
625
( x ÷ (
52247
100
× 2))(
52247
100
× 2) +
4
5
(
52247
100
× 2)
    Remove a bracket on the right of the equation::
     
119413
100
x =
104494
625
x +
14919
625
x ÷ (
52247
100
× 2) × (
52247
100
× 2) +
4
5
(
52247
100
× 2)
     Multiply both sides of the equation by:(
52247
100
× 2)
     
119413
100
x (
52247
100
× 2) =
104494
625
x (
52247
100
× 2) +
14919
625
x (
52247
100
× 2) +
4
5
(
52247
100
× 2)(
52247
100
× 2)
    Remove a bracket on the left of the equation:
     
119413
100
x ×
52247
100
× 2 =
104494
625
x (
52247
100
× 2) +
14919
625
x (
52247
100
× 2) +
4
5
(
52247
100
× 2)(
52247
100
× 2)
    Remove a bracket on the right of the equation::
     
119413
100
x ×
52247
100
× 2 =
104494
625
x ×
52247
100
× 2 +
14919
625
x (
52247
100
× 2) +
4
5
(
52247
100
× 2)(
52247
100
× 2)

    The solution of the equation:
        x1≈-4.375319 , keep 6 decimal places
        x2≈0.833394 , keep 6 decimal places
    
    There are 2 solution(s).


解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!





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