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 x-x/2-1-(x-x/2-1)/2-1 = 3 .
    Question type: Equation
    Solution:Original question:
      x x ÷ 21( x x ÷ 21) ÷ 21 = 3
     Left side of the equation =
1
2
x 2( x x ÷ 21) ×
1
2
    The equation is transformed into :
     
1
2
x 2( x x ÷ 21) ×
1
2
= 3
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2
x 2 x ×
1
2
+ x ÷ 2 ×
1
2
+ 1 ×
1
2
                                             =
1
2
x 2 x ×
1
2
+ x ×
1
4
+
1
2
                                             =
1
4
x
3
2
    The equation is transformed into :
     
1
4
x
3
2
= 3

    Transposition :
     
1
4
x = 3 +
3
2

    Combine the items on the right of the equation:
     
1
4
x =
9
2

    The coefficient of the unknown number is reduced to 1 :
      x =
9
2
÷
1
4
        =
9
2
× 4
        = 9 × 2

    We obtained :
      x = 18
    This is the solution of the equation.



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