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

[ 1/6 Equation]
    Work: Find the solution of equation i1 = i2+i6 .
    Question type: Equation
    Solution:Original question:
      i × 1 = i × 2 + i × 6
     Right side of the equation = 8 i
    The equation is transformed into :
     1 i = 8 i
    i.e.
      i = 8 i
    This is the solution of the equation.
    This is the solution of the equation.

[ 2/6 Equation]
    Work: Find the solution of equation i2 = i4+i3 .
    Question type: Equation
    Solution:Original question:
      i × 2 = i × 4 + i × 3
     Right side of the equation = 7 i
    The equation is transformed into :
     2 i = 7 i

    The coefficient of the unknown number is reduced to 1 :
      i = 7 ÷ 2
        = 7 ×
1
2

    We obtained :
      i =
7
2
    This is the solution of the equation.

    Convert the result to decimal form :
      i = 3.5

[ 3/6 Equation]
    Work: Find the solution of equation i5 = i4+i6 .
    Question type: Equation
    Solution:Original question:
      i × 5 = i × 4 + i × 6
     Right side of the equation = 10 i
    The equation is transformed into :
     5 i = 10 i

    The coefficient of the unknown number is reduced to 1 :
      i = 10 ÷ 5
        = 10 ×
1
5
        = 2 × 1

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

[ 4/6 Equation]
    Work: Find the solution of equation 2i6+40 = 8i4+10i2 .
    Question type: Equation
    Solution:Original question:
     2 i × 6 + 40 = 8 i × 4 + 10 i × 2
     Left side of the equation = 12 i + 40
    The equation is transformed into :
     12 i + 40 = 8 i × 4 + 10 i × 2
     Right side of the equation = 32 i + 20 i
                                               = 52 i
    The equation is transformed into :
     12 i + 40 = 52 i

    Transposition :
     12 i − 52 i = - 40

    Combine the items on the left of the equation:
      - 40 i = - 40

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     40 = 40 i

    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 :
     40 i = 40

    The coefficient of the unknown number is reduced to 1 :
      i = 40 ÷ 40
        = 40 ×
1
40
        = 1 × 1

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

[ 5/6 Equation]
    Work: Find the solution of equation 2i6+40+4i3+20+10i1 = 8i4 .
    Question type: Equation
    Solution:Original question:
     2 i × 6 + 40 + 4 i × 3 + 20 + 10 i × 1 = 8 i × 4
     Left side of the equation = 12 i + 40 + 12 i + 20 + 10 i
                                             = 34 i + 60
    The equation is transformed into :
     34 i + 60 = 8 i × 4
     Right side of the equation = 32 i
    The equation is transformed into :
     34 i + 60 = 32 i

    Transposition :
     34 i − 32 i = - 60

    Combine the items on the left of the equation:
     2 i = - 60

    The coefficient of the unknown number is reduced to 1 :
      i = - 60 ÷ 2
        = - 60 ×
1
2
        = - 30 × 1

    We obtained :
      i = - 30
    This is the solution of the equation.

[ 6/6 Equation]
    Work: Find the solution of equation 4i3+20 = 8i5+8i4 .
    Question type: Equation
    Solution:Original question:
     4 i × 3 + 20 = 8 i × 5 + 8 i × 4
     Left side of the equation = 12 i + 20
    The equation is transformed into :
     12 i + 20 = 8 i × 5 + 8 i × 4
     Right side of the equation = 40 i + 32 i
                                               = 72 i
    The equation is transformed into :
     12 i + 20 = 72 i

    Transposition :
     12 i − 72 i = - 20

    Combine the items on the left of the equation:
      - 60 i = - 20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     20 = 60 i

    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 :
     60 i = 20

    The coefficient of the unknown number is reduced to 1 :
      i = 20 ÷ 60
        = 20 ×
1
60
        = 1 ×
1
3

    We obtained :
      i =
1
3
    This is the solution of the equation.

    Convert the result to decimal form :
      i = 0.333333



Your problem has not been solved here? Please go to the Hot Problems section！


Return