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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 0.0563*(1-(1/(1+x)))+0.1058%*(1/(1+x)) = 0.08 .
    Question type: Equation
    Solution:Original question:
     
563
10000
(1(1 ÷ (1 + x ))) +
529
500000
(1 ÷ (1 + x )) =
2
25
    Remove a bracket on the left of the equation::
     
563
10000
× 1
563
10000
(1 ÷ (1 + x )) +
529
500000
(1 ÷ (1 + x )) =
2
25
    The equation is reduced to :
     
563
10000
563
10000
(1 ÷ (1 + x )) +
529
500000
(1 ÷ (1 + x )) =
2
25
    Remove a bracket on the left of the equation:
     
563
10000
563
10000
× 1 ÷ (1 + x ) +
529
500000
(1 ÷ (1 + x )) =
2
25
    The equation is reduced to :
     
563
10000
563
10000
÷ (1 + x ) +
529
500000
(1 ÷ (1 + x )) =
2
25
     Multiply both sides of the equation by:(1 + x )
     
563
10000
(1 + x )
563
10000
+
529
500000
(1 ÷ (1 + x ))(1 + x ) =
2
25
(1 + x )
    Remove a bracket on the left of the equation:
     
563
10000
× 1 +
563
10000
x
563
10000
+
529
500000
(1 ÷ (1 + x ))(1 + x ) =
2
25
(1 + x )
    Remove a bracket on the right of the equation::
     
563
10000
× 1 +
563
10000
x
563
10000
+
529
500000
(1 ÷ (1 + x ))(1 + x ) =
2
25
× 1 +
2
25
x
    The equation is reduced to :
     
563
10000
+
563
10000
x
563
10000
+
529
500000
(1 ÷ (1 + x ))(1 + x ) =
2
25
+
2
25
x
    The equation is reduced to :
      0 +
563
10000
x +
529
500000
(1 ÷ (1 + x ))(1 + x ) =
2
25
+
2
25
x
    Remove a bracket on the left of the equation:
     
563
10000
x +
529
500000
× 1 ÷ (1 + x ) × (1 + x ) =
2
25
+
2
25
x
    The equation is reduced to :
     
563
10000
x +
529
500000
÷ (1 + x ) × (1 + x ) =
2
25
+
2
25
x
     Multiply both sides of the equation by:(1 + x )
     
563
10000
x (1 + x ) +
529
500000
(1 + x ) =
2
25
(1 + x ) +
2
25
x (1 + x )
    Remove a bracket on the left of the equation:
     
563
10000
x × 1 +
563
10000
x x +
529
500000
(1 + x ) =
2
25
(1 + x ) +
2
25
x (1 + x )
    Remove a bracket on the right of the equation::
     
563
10000
x × 1 +
563
10000
x x +
529
500000
(1 + x ) =
2
25
× 1 +
2
25
x +
2
25
x (1 + x )
    The equation is reduced to :
     
563
10000
x +
563
10000
x x +
529
500000
(1 + x ) =
2
25
+
2
25
x +
2
25
x (1 + x )
    Remove a bracket on the left of the equation:
     
563
10000
x +
563
10000
x x +
529
500000
× 1 +
529
500000
x =
2
25
+
2
25
x +
2
25
x (1 + x )
    Remove a bracket on the right of the equation::
     
563
10000
x +
563
10000
x x +
529
500000
× 1 +
529
500000
x =
2
25
+
2
25
x +
2
25
x × 1 +
2
25
x x
    The equation is reduced to :
     
563
10000
x +
563
10000
x x +
529
500000
+
529
500000
x =
2
25
+
2
25
x +
2
25
x +
2
25
x x
    The equation is reduced to :
     
28679
500000
x +
563
10000
x x +
529
500000
=
2
25
+
4
25
x +
2
25
x x

    
        x≈-3.330886 , keep 6 decimal places
    
    There are 1 solution(s).


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