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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/(1+0.013*x))*0.067*x-3.173 = 0.548 .
    Question type: Equation
    Solution:Original question:
     (1 ÷ (1 +
13
1000
x )) ×
67
1000
x
3173
1000
=
137
250
    Remove a bracket on the left of the equation::
     1 ÷ (1 +
13
1000
x ) ×
67
1000
x
3173
1000
=
137
250
    The equation is reduced to :
     
67
1000
÷ (1 +
13
1000
x ) × x
3173
1000
=
137
250
     Multiply both sides of the equation by:(1 +
13
1000
x )
     
67
1000
x
3173
1000
(1 +
13
1000
x ) =
137
250
(1 +
13
1000
x )
    Remove a bracket on the left of the equation:
     
67
1000
x
3173
1000
× 1
3173
1000
×
13
1000
x =
137
250
(1 +
13
1000
x )
    Remove a bracket on the right of the equation::
     
67
1000
x
3173
1000
× 1
3173
1000
×
13
1000
x =
137
250
× 1 +
137
250
×
13
1000
x
    The equation is reduced to :
     
67
1000
x
3173
1000
41249
1000000
x =
137
250
+
1781
250000
x
    The equation is reduced to :
     
25751
1000000
x
3173
1000
=
137
250
+
1781
250000
x

    Transposition :
     
25751
1000000
x
1781
250000
x =
137
250
+
3173
1000

    After the equation is converted into a general formula, there is a common factor:
    ( 100x - √399055693 )
    From
        100x - √399055693 = 0

    it is concluded that::
        x1=
√399055693
100

    Solutions that cannot be obtained by factorization:
        x2≈-76.923077 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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