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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 14/(X+14)-12/(X+12) = 0.03 .
    Question type: Equation
    Solution:Original question:
     14 ÷ ( X + 14)12 ÷ ( X + 12) =
3
100
     Multiply both sides of the equation by:( X + 14)
     1412 ÷ ( X + 12) × ( X + 14) =
3
100
( X + 14)
    Remove a bracket on the left of the equation::
     1412 ÷ ( X + 12) × X 12 ÷ ( X + 12) × 14 =
3
100
( X + 14)
    Remove a bracket on the right of the equation::
     1412 ÷ ( X + 12) × X 12 ÷ ( X + 12) × 14 =
3
100
X +
3
100
× 14
    The equation is reduced to :
     1412 ÷ ( X + 12) × X 168 ÷ ( X + 12) =
3
100
X +
21
50
     Multiply both sides of the equation by:( X + 12)
     14( X + 12)12 X 168 =
3
100
X ( X + 12) +
21
50
( X + 12)
    Remove a bracket on the left of the equation:
     14 X + 14 × 1212 X 168 =
3
100
X ( X + 12) +
21
50
( X + 12)
    Remove a bracket on the right of the equation::
     14 X + 14 × 1212 X 168 =
3
100
X X +
3
100
X × 12 +
21
50
( X + 12)
    The equation is reduced to :
     14 X + 16812 X 168 =
3
100
X X +
9
25
X +
21
50
( X + 12)
    The equation is reduced to :
     2 X + 0 =
3
100
X X +
9
25
X +
21
50
( X + 12)
    Remove a bracket on the right of the equation::
     2 X =
3
100
X X +
9
25
X +
21
50
X +
21
50
× 12
    The equation is reduced to :
     2 X =
3
100
X X +
9
25
X +
21
50
X +
126
25
    The equation is reduced to :
     2 X =
3
100
X X +
39
50
X +
126
25

    After the equation is converted into a general formula, it is converted into:
    ( 3X - 14 )( X - 36 )=0
    From
        3X - 14 = 0
        X - 36 = 0

    it is concluded that::
        X1=
14
3
        X2=36
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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