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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: 4 questions will be solved this time.Among them
           ☆4 equations

[ 1/4 Equation]
    Work: Find the solution of equation x1-2x2＋x3＋2x4 = 4 .
    Question type: Equation
    Solution:Original question:
      x × 1 − 2 x × 2 + x × 3 + 2 x × 4 = 4
     Left side of the equation = x × 1 − 4 x + x × 3 + 8 x
                                             = 8 x
    The equation is transformed into :
     8 x = 4

    The coefficient of the unknown number is reduced to 1 :
      x = 4 ÷ 8
        = 4 ×
1
8
        = 1 ×
1
2

    We obtained :
      x =
1
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.5

[ 2/4 Equation]
    Work: Find the solution of equation -x2-x3+3x4 = -1 .
    Question type: Equation
    Solution:Original question:
      - x × 2 − x × 3 + 3 x × 4 = - 1
     Left side of the equation = - x × 2 − x × 3 + 12 x
                                             = 7 x
    The equation is transformed into :
     7 x = - 1

    The coefficient of the unknown number is reduced to 1 :
      x = - 1 ÷ 7
        = - 1 ×
1
7

    We obtained :
      x = -
1
7
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.142857

[ 3/4 Equation]
    Work: Find the solution of equation x1+2x2-4x3-9x4 = 1 .
    Question type: Equation
    Solution:Original question:
      x × 1 + 2 x × 2 − 4 x × 3 − 9 x × 4 = 1
     Left side of the equation = x × 1 + 4 x − 12 x − 36 x
                                             = - 43 x
    The equation is transformed into :
      - 43 x = 1

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 1 = 43 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     43 x = - 1

    The coefficient of the unknown number is reduced to 1 :
      x = - 1 ÷ 43
        = - 1 ×
1
43

    We obtained :
      x = -
1
43
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.023256

[ 4/4 Equation]
    Work: Find the solution of equation 2x2-x3-9x4 = 3 .
    Question type: Equation
    Solution:Original question:
     2 x × 2 − x × 3 − 9 x × 4 = 3
     Left side of the equation = 4 x − x × 3 − 36 x
                                             = - 35 x
    The equation is transformed into :
      - 35 x = 3

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 3 = 35 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     35 x = - 3

    The coefficient of the unknown number is reduced to 1 :
      x = - 3 ÷ 35
        = - 3 ×
1
35

    We obtained :
      x = -
3
35
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.085714



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