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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 (0.5-0.01a)(0.1-0.05a) = 2a .
    Question type: Equation
    Solution:Original question:
     (
1
2
1
100
a )(
1
10
1
20
a ) = 2 a
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2
(
1
10
1
20
a )
1
100
a (
1
10
1
20
a )
                                             =
1
2
×
1
10
1
2
×
1
20
a
1
100
a (
1
10
1
20
a )
                                             =
1
20
1
40
a
1
100
a (
1
10
1
20
a )
                                             =
1
20
1
40
a
1
100
a ×
1
10
+
1
100
a ×
1
20
a
                                             =
1
20
1
40
a
1
1000
a +
1
2000
a a
                                             =
1
20
13
500
a +
1
2000
a a
    The equation is transformed into :
     
1
20
13
500
a +
1
2000
a a = 2 a

    
        a≈0.024679 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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