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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/（212.5-x）+1/(11.11+x) = 0.09 .
    Question type: Equation
    Solution:Original question:
     1 ÷ (
425
2
 − x ) + 1 ÷ (
1111
100
 + x ) =
9
100
     Multiply both sides of the equation by:(
425
2
 − x )
     1 + 1 ÷ (
1111
100
 + x ) × (
425
2
 − x ) =
9
100
(
425
2
 − x )
    Remove a bracket on the left of the equation:：
     1 + 1 ÷ (
1111
100
 + x ) ×
425
2
 − 1 ÷ (
1111
100
 + x ) × x =
9
100
(
425
2
 − x )
    Remove a bracket on the right of the equation:：
     1 + 1 ÷ (
1111
100
 + x ) ×
425
2
 − 1 ÷ (
1111
100
 + x ) × x =
9
100
 ×
425
2
 −
9
100
 x
    The equation is reduced to :
     1 +
425
2
 ÷ (
1111
100
 + x ) − 1 ÷ (
1111
100
 + x ) × x =
153
8
 −
9
100
 x
     Multiply both sides of the equation by:(
1111
100
 + x )
     1(
1111
100
 + x ) +
425
2
 − 1 x =
153
8
(
1111
100
 + x ) −
9
100
 x (
1111
100
 + x )
    Remove a bracket on the left of the equation:
     1 ×
1111
100
 + 1 x +
425
2
 − 1 x =
153
8
(
1111
100
 + x ) −
9
100
 x (
1111
100
 + x )
    Remove a bracket on the right of the equation:：
     1 ×
1111
100
 + 1 x +
425
2
 − 1 x =
153
8
 ×
1111
100
 +
153
8
 x −
9
100
 x (
1111
100
 + x )
    The equation is reduced to :
     
1111
100
 + 1 x +
425
2
 − 1 x =
169983
800
 +
153
8
 x −
9
100
 x (
1111
100
 + x )
    The equation is reduced to :
     
22361
100
 + 0 x =
169983
800
 +
153
8
 x −
9
100
 x (
1111
100
 + x )
    Remove a bracket on the right of the equation:：
     
22361
100
 =
169983
800
 +
153
8
 x −
9
100
 x ×
1111
100
 −
9
100
 x x
    The equation is reduced to :
     
22361
100
 =
169983
800
 +
153
8
 x −
9999
10000
 x −
9
100
 x x
    The equation is reduced to :
     
22361
100
 =
169983
800
 +
181251
10000
 x −
9
100
 x x

    
        x≈0.616019 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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